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Finding the Fourth Proportional to 142,691.70, 214,037.54 and 37,510.50

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Solution

The fourth proportional to 142,691.70, 214,037.54 and 37,510.50 is: 56,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,691.70 : 214,037.54 = 37,510.50 : x
  2. Step 2: Convert to fraction form
    142,691.70/214,037.54 = 37,510.50/x
  3. Step 3: Cross multiply
    142,691.70x = 214,037.54 × 37,510.50
  4. Step 4: Simplify right side
    142,691.70x = 8,028,655,144.17
  5. Step 5: Solve for x
    x = 8,028,655,144.17/142,691.70
  6. Step 6: Final answer
    x = 56,265.75

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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.