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Finding the Fourth Proportional to 165,253.26, 228,049.08 and 89,801.76

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Solution

The fourth proportional to 165,253.26, 228,049.08 and 89,801.76 is: 123,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,253.26 : 228,049.08 = 89,801.76 : x
  2. Step 2: Convert to fraction form
    165,253.26/228,049.08 = 89,801.76/x
  3. Step 3: Cross multiply
    165,253.26x = 228,049.08 × 89,801.76
  4. Step 4: Simplify right side
    165,253.26x = 20,479,208,750.38
  5. Step 5: Solve for x
    x = 20,479,208,750.38/165,253.26
  6. Step 6: Final answer
    x = 123,926.20

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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.