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Finding the Fourth Proportional to 132,624, 198,972.45 and 39,129.75

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Solution

The fourth proportional to 132,624, 198,972.45 and 39,129.75 is: 58,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,624 : 198,972.45 = 39,129.75 : x
  2. Step 2: Convert to fraction form
    132,624/198,972.45 = 39,129.75/x
  3. Step 3: Cross multiply
    132,624x = 198,972.45 × 39,129.75
  4. Step 4: Simplify right side
    132,624x = 7,785,742,225.39
  5. Step 5: Solve for x
    x = 7,785,742,225.39/132,624
  6. Step 6: Final answer
    x = 58,705.38

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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.