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Finding the Fourth Proportional to 105,985,846.80, 158,978,770.20 and 98,333,096.40

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Solution

The fourth proportional to 105,985,846.80, 158,978,770.20 and 98,333,096.40 is: 147,499,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,985,846.80 : 158,978,770.20 = 98,333,096.40 : x
  2. Step 2: Convert to fraction form
    105,985,846.80/158,978,770.20 = 98,333,096.40/x
  3. Step 3: Cross multiply
    105,985,846.80x = 158,978,770.20 × 98,333,096.40
  4. Step 4: Simplify right side
    105,985,846.80x = 15,632,874,735,630,048
  5. Step 5: Solve for x
    x = 15,632,874,735,630,048/105,985,846.80
  6. Step 6: Final answer
    x = 147,499,644.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.