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Finding the Fourth Proportional to 160,324.38, 221,053.86 and 129,729.60

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Solution

The fourth proportional to 160,324.38, 221,053.86 and 129,729.60 is: 178,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,324.38 : 221,053.86 = 129,729.60 : x
  2. Step 2: Convert to fraction form
    160,324.38/221,053.86 = 129,729.60/x
  3. Step 3: Cross multiply
    160,324.38x = 221,053.86 × 129,729.60
  4. Step 4: Simplify right side
    160,324.38x = 28,677,228,836.26
  5. Step 5: Solve for x
    x = 28,677,228,836.26/160,324.38
  6. Step 6: Final answer
    x = 178,870.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.