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Finding the Fourth Proportional to 132,009.74, 198,011.34 and 38,516.30

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Solution

The fourth proportional to 132,009.74, 198,011.34 and 38,516.30 is: 57,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,009.74 : 198,011.34 = 38,516.30 : x
  2. Step 2: Convert to fraction form
    132,009.74/198,011.34 = 38,516.30/x
  3. Step 3: Cross multiply
    132,009.74x = 198,011.34 × 38,516.30
  4. Step 4: Simplify right side
    132,009.74x = 7,626,664,174.84
  5. Step 5: Solve for x
    x = 7,626,664,174.84/132,009.74
  6. Step 6: Final answer
    x = 57,773.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.