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Finding the Fourth Proportional to 165,696.98, 228,691.60 and 97,709.88

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Solution

The fourth proportional to 165,696.98, 228,691.60 and 97,709.88 is: 134,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,696.98 : 228,691.60 = 97,709.88 : x
  2. Step 2: Convert to fraction form
    165,696.98/228,691.60 = 97,709.88/x
  3. Step 3: Cross multiply
    165,696.98x = 228,691.60 × 97,709.88
  4. Step 4: Simplify right side
    165,696.98x = 22,345,428,793.01
  5. Step 5: Solve for x
    x = 22,345,428,793.01/165,696.98
  6. Step 6: Final answer
    x = 134,857.19

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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.