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Finding the Fourth Proportional to 165,076.38, 227,807.91 and 89,624.88

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Solution

The fourth proportional to 165,076.38, 227,807.91 and 89,624.88 is: 123,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,076.38 : 227,807.91 = 89,624.88 : x
  2. Step 2: Convert to fraction form
    165,076.38/227,807.91 = 89,624.88/x
  3. Step 3: Cross multiply
    165,076.38x = 227,807.91 × 89,624.88
  4. Step 4: Simplify right side
    165,076.38x = 20,417,256,596.80
  5. Step 5: Solve for x
    x = 20,417,256,596.80/165,076.38
  6. Step 6: Final answer
    x = 123,683.69

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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.