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Finding the Fourth Proportional to 142,123.77, 212,952.38 and 48,578.49

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Solution

The fourth proportional to 142,123.77, 212,952.38 and 48,578.49 is: 72,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,123.77 : 212,952.38 = 48,578.49 : x
  2. Step 2: Convert to fraction form
    142,123.77/212,952.38 = 48,578.49/x
  3. Step 3: Cross multiply
    142,123.77x = 212,952.38 × 48,578.49
  4. Step 4: Simplify right side
    142,123.77x = 10,344,904,819.41
  5. Step 5: Solve for x
    x = 10,344,904,819.41/142,123.77
  6. Step 6: Final answer
    x = 72,788.00

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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.