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Finding the Fourth Proportional to 120,475.38, 166,253.28 and 69,488.22

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Solution

The fourth proportional to 120,475.38, 166,253.28 and 69,488.22 is: 95,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,475.38 : 166,253.28 = 69,488.22 : x
  2. Step 2: Convert to fraction form
    120,475.38/166,253.28 = 69,488.22/x
  3. Step 3: Cross multiply
    120,475.38x = 166,253.28 × 69,488.22
  4. Step 4: Simplify right side
    120,475.38x = 11,552,644,496.36
  5. Step 5: Solve for x
    x = 11,552,644,496.36/120,475.38
  6. Step 6: Final answer
    x = 95,892.16

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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.