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Finding the Fourth Proportional to 106,903.80, 160,355.70 and 44,566.20

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Solution

The fourth proportional to 106,903.80, 160,355.70 and 44,566.20 is: 66,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.80 : 160,355.70 = 44,566.20 : x
  2. Step 2: Convert to fraction form
    106,903.80/160,355.70 = 44,566.20/x
  3. Step 3: Cross multiply
    106,903.80x = 160,355.70 × 44,566.20
  4. Step 4: Simplify right side
    106,903.80x = 7,146,444,197.34
  5. Step 5: Solve for x
    x = 7,146,444,197.34/106,903.80
  6. Step 6: Final answer
    x = 66,849.30

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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.