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Finding the Fourth Proportional to 261,813.50, 392,712.40 and 72,285.44

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Solution

The fourth proportional to 261,813.50, 392,712.40 and 72,285.44 is: 108,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,813.50 : 392,712.40 = 72,285.44 : x
  2. Step 2: Convert to fraction form
    261,813.50/392,712.40 = 72,285.44/x
  3. Step 3: Cross multiply
    261,813.50x = 392,712.40 × 72,285.44
  4. Step 4: Simplify right side
    261,813.50x = 28,387,387,858.75
  5. Step 5: Solve for x
    x = 28,387,387,858.75/261,813.50
  6. Step 6: Final answer
    x = 108,425.99

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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.