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Finding the Fourth Proportional to 142,524.60, 213,799.14 and 37,343.58

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Solution

The fourth proportional to 142,524.60, 213,799.14 and 37,343.58 is: 56,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,524.60 : 213,799.14 = 37,343.58 : x
  2. Step 2: Convert to fraction form
    142,524.60/213,799.14 = 37,343.58/x
  3. Step 3: Cross multiply
    142,524.60x = 213,799.14 × 37,343.58
  4. Step 4: Simplify right side
    142,524.60x = 7,984,025,288.52
  5. Step 5: Solve for x
    x = 7,984,025,288.52/142,524.60
  6. Step 6: Final answer
    x = 56,018.58

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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.