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Finding the Fourth Proportional to 165,073.93, 227,798.49 and 89,622.43

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Solution

The fourth proportional to 165,073.93, 227,798.49 and 89,622.43 is: 123,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,073.93 : 227,798.49 = 89,622.43 : x
  2. Step 2: Convert to fraction form
    165,073.93/227,798.49 = 89,622.43/x
  3. Step 3: Cross multiply
    165,073.93x = 227,798.49 × 89,622.43
  4. Step 4: Simplify right side
    165,073.93x = 20,415,854,224.13
  5. Step 5: Solve for x
    x = 20,415,854,224.13/165,073.93
  6. Step 6: Final answer
    x = 123,677.04

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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.