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Finding the Fourth Proportional to 164,658.52, 227,229.42 and 89,207.02

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Solution

The fourth proportional to 164,658.52, 227,229.42 and 89,207.02 is: 123,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,658.52 : 227,229.42 = 89,207.02 : x
  2. Step 2: Convert to fraction form
    164,658.52/227,229.42 = 89,207.02/x
  3. Step 3: Cross multiply
    164,658.52x = 227,229.42 × 89,207.02
  4. Step 4: Simplify right side
    164,658.52x = 20,270,459,414.53
  5. Step 5: Solve for x
    x = 20,270,459,414.53/164,658.52
  6. Step 6: Final answer
    x = 123,106.05

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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.