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Finding the Fourth Proportional to 261,435.40, 392,116.08 and 83,919.04

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Solution

The fourth proportional to 261,435.40, 392,116.08 and 83,919.04 is: 125,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,435.40 : 392,116.08 = 83,919.04 : x
  2. Step 2: Convert to fraction form
    261,435.40/392,116.08 = 83,919.04/x
  3. Step 3: Cross multiply
    261,435.40x = 392,116.08 × 83,919.04
  4. Step 4: Simplify right side
    261,435.40x = 32,906,005,002.16
  5. Step 5: Solve for x
    x = 32,906,005,002.16/261,435.40
  6. Step 6: Final answer
    x = 125,866.68

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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.