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Finding the Fourth Proportional to 261,999.18, 392,714.42 and 172,004.13

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Solution

The fourth proportional to 261,999.18, 392,714.42 and 172,004.13 is: 257,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,999.18 : 392,714.42 = 172,004.13 : x
  2. Step 2: Convert to fraction form
    261,999.18/392,714.42 = 172,004.13/x
  3. Step 3: Cross multiply
    261,999.18x = 392,714.42 × 172,004.13
  4. Step 4: Simplify right side
    261,999.18x = 67,548,501,290.53
  5. Step 5: Solve for x
    x = 67,548,501,290.53/261,999.18
  6. Step 6: Final answer
    x = 257,819.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.