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Finding the Fourth Proportional to 142,340.89, 213,439.65 and 47,537.68

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Solution

The fourth proportional to 142,340.89, 213,439.65 and 47,537.68 is: 71,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,340.89 : 213,439.65 = 47,537.68 : x
  2. Step 2: Convert to fraction form
    142,340.89/213,439.65 = 47,537.68/x
  3. Step 3: Cross multiply
    142,340.89x = 213,439.65 × 47,537.68
  4. Step 4: Simplify right side
    142,340.89x = 10,146,425,781.01
  5. Step 5: Solve for x
    x = 10,146,425,781.01/142,340.89
  6. Step 6: Final answer
    x = 71,282.58

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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.