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Finding the Fourth Proportional to 257,504.28, 386,182.58 and 77,607.12

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Solution

The fourth proportional to 257,504.28, 386,182.58 and 77,607.12 is: 116,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,504.28 : 386,182.58 = 77,607.12 : x
  2. Step 2: Convert to fraction form
    257,504.28/386,182.58 = 77,607.12/x
  3. Step 3: Cross multiply
    257,504.28x = 386,182.58 × 77,607.12
  4. Step 4: Simplify right side
    257,504.28x = 29,970,517,827.97
  5. Step 5: Solve for x
    x = 29,970,517,827.97/257,504.28
  6. Step 6: Final answer
    x = 116,388.43

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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.