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Finding the Fourth Proportional to 261,124.76, 391,687.14 and 172,357.50

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Solution

The fourth proportional to 261,124.76, 391,687.14 and 172,357.50 is: 258,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,124.76 : 391,687.14 = 172,357.50 : x
  2. Step 2: Convert to fraction form
    261,124.76/391,687.14 = 172,357.50/x
  3. Step 3: Cross multiply
    261,124.76x = 391,687.14 × 172,357.50
  4. Step 4: Simplify right side
    261,124.76x = 67,510,218,347.72
  5. Step 5: Solve for x
    x = 67,510,218,347.72/261,124.76
  6. Step 6: Final answer
    x = 258,536.26

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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.