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Finding the Fourth Proportional to 165,048.42, 227,767.41 and 89,596.92

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Solution

The fourth proportional to 165,048.42, 227,767.41 and 89,596.92 is: 123,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,048.42 : 227,767.41 = 89,596.92 : x
  2. Step 2: Convert to fraction form
    165,048.42/227,767.41 = 89,596.92/x
  3. Step 3: Cross multiply
    165,048.42x = 227,767.41 × 89,596.92
  4. Step 4: Simplify right side
    165,048.42x = 20,407,258,412.38
  5. Step 5: Solve for x
    x = 20,407,258,412.38/165,048.42
  6. Step 6: Final answer
    x = 123,644.07

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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.