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Finding the Fourth Proportional to 132,107.84, 198,159.42 and 53,220.04

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Solution

The fourth proportional to 132,107.84, 198,159.42 and 53,220.04 is: 79,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,107.84 : 198,159.42 = 53,220.04 : x
  2. Step 2: Convert to fraction form
    132,107.84/198,159.42 = 53,220.04/x
  3. Step 3: Cross multiply
    132,107.84x = 198,159.42 × 53,220.04
  4. Step 4: Simplify right side
    132,107.84x = 10,546,052,258.78
  5. Step 5: Solve for x
    x = 10,546,052,258.78/132,107.84
  6. Step 6: Final answer
    x = 79,829.12

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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.