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Finding the Fourth Proportional to 261,175.54, 391,874.01 and 142,708.50

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Solution

The fourth proportional to 261,175.54, 391,874.01 and 142,708.50 is: 214,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,175.54 : 391,874.01 = 142,708.50 : x
  2. Step 2: Convert to fraction form
    261,175.54/391,874.01 = 142,708.50/x
  3. Step 3: Cross multiply
    261,175.54x = 391,874.01 × 142,708.50
  4. Step 4: Simplify right side
    261,175.54x = 55,923,752,156.09
  5. Step 5: Solve for x
    x = 55,923,752,156.09/261,175.54
  6. Step 6: Final answer
    x = 214,123.24

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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.