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Finding the Fourth Proportional to 165,085.38, 227,818.74 and 97,105.32

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Solution

The fourth proportional to 165,085.38, 227,818.74 and 97,105.32 is: 134,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,085.38 : 227,818.74 = 97,105.32 : x
  2. Step 2: Convert to fraction form
    165,085.38/227,818.74 = 97,105.32/x
  3. Step 3: Cross multiply
    165,085.38x = 227,818.74 × 97,105.32
  4. Step 4: Simplify right side
    165,085.38x = 22,122,411,649.70
  5. Step 5: Solve for x
    x = 22,122,411,649.70/165,085.38
  6. Step 6: Final answer
    x = 134,005.88

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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.