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Finding the Fourth Proportional to 104,489.82, 144,197.75 and 56,743.17

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Solution

The fourth proportional to 104,489.82, 144,197.75 and 56,743.17 is: 78,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,489.82 : 144,197.75 = 56,743.17 : x
  2. Step 2: Convert to fraction form
    104,489.82/144,197.75 = 56,743.17/x
  3. Step 3: Cross multiply
    104,489.82x = 144,197.75 × 56,743.17
  4. Step 4: Simplify right side
    104,489.82x = 8,182,237,854.10
  5. Step 5: Solve for x
    x = 8,182,237,854.10/104,489.82
  6. Step 6: Final answer
    x = 78,306.56

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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.