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Finding the Fourth Proportional to 142,175.12, 213,262.07 and 57,916.49

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Solution

The fourth proportional to 142,175.12, 213,262.07 and 57,916.49 is: 86,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,175.12 : 213,262.07 = 57,916.49 : x
  2. Step 2: Convert to fraction form
    142,175.12/213,262.07 = 57,916.49/x
  3. Step 3: Cross multiply
    142,175.12x = 213,262.07 × 57,916.49
  4. Step 4: Simplify right side
    142,175.12x = 12,351,391,222.48
  5. Step 5: Solve for x
    x = 12,351,391,222.48/142,175.12
  6. Step 6: Final answer
    x = 86,874.49

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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.