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Finding the Fourth Proportional to 142,614.48, 197,708.34 and 135,030

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Solution

The fourth proportional to 142,614.48, 197,708.34 and 135,030 is: 187,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,614.48 : 197,708.34 = 135,030 : x
  2. Step 2: Convert to fraction form
    142,614.48/197,708.34 = 135,030/x
  3. Step 3: Cross multiply
    142,614.48x = 197,708.34 × 135,030
  4. Step 4: Simplify right side
    142,614.48x = 26,696,557,150.20
  5. Step 5: Solve for x
    x = 26,696,557,150.20/142,614.48
  6. Step 6: Final answer
    x = 187,193.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.