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Finding the Fourth Proportional to 165,042.72, 227,723.91 and 97,034.88

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Solution

The fourth proportional to 165,042.72, 227,723.91 and 97,034.88 is: 133,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,042.72 : 227,723.91 = 97,034.88 : x
  2. Step 2: Convert to fraction form
    165,042.72/227,723.91 = 97,034.88/x
  3. Step 3: Cross multiply
    165,042.72x = 227,723.91 × 97,034.88
  4. Step 4: Simplify right side
    165,042.72x = 22,097,162,279.98
  5. Step 5: Solve for x
    x = 22,097,162,279.98/165,042.72
  6. Step 6: Final answer
    x = 133,887.53

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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.