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Finding the Fourth Proportional to 116,443, 160,691.34 and 63,451

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Solution

The fourth proportional to 116,443, 160,691.34 and 63,451 is: 87,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,443 : 160,691.34 = 63,451 : x
  2. Step 2: Convert to fraction form
    116,443/160,691.34 = 63,451/x
  3. Step 3: Cross multiply
    116,443x = 160,691.34 × 63,451
  4. Step 4: Simplify right side
    116,443x = 10,196,026,214.34
  5. Step 5: Solve for x
    x = 10,196,026,214.34/116,443
  6. Step 6: Final answer
    x = 87,562.38

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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.