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Finding the Fourth Proportional to 132,117, 198,175.50 and 38,622.75

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Solution

The fourth proportional to 132,117, 198,175.50 and 38,622.75 is: 57,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,117 : 198,175.50 = 38,622.75 : x
  2. Step 2: Convert to fraction form
    132,117/198,175.50 = 38,622.75/x
  3. Step 3: Cross multiply
    132,117x = 198,175.50 × 38,622.75
  4. Step 4: Simplify right side
    132,117x = 7,654,082,792.63
  5. Step 5: Solve for x
    x = 7,654,082,792.63/132,117
  6. Step 6: Final answer
    x = 57,934.13

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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.