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Finding the Fourth Proportional to 98,846.64, 148,095 and 82,108.80

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Solution

The fourth proportional to 98,846.64, 148,095 and 82,108.80 is: 123,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846.64 : 148,095 = 82,108.80 : x
  2. Step 2: Convert to fraction form
    98,846.64/148,095 = 82,108.80/x
  3. Step 3: Cross multiply
    98,846.64x = 148,095 × 82,108.80
  4. Step 4: Simplify right side
    98,846.64x = 12,159,902,736
  5. Step 5: Solve for x
    x = 12,159,902,736/98,846.64
  6. Step 6: Final answer
    x = 123,017.87

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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.