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Finding the Fourth Proportional to 83,195.73, 124,749.86 and 71,560.89

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Solution

The fourth proportional to 83,195.73, 124,749.86 and 71,560.89 is: 107,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,195.73 : 124,749.86 = 71,560.89 : x
  2. Step 2: Convert to fraction form
    83,195.73/124,749.86 = 71,560.89/x
  3. Step 3: Cross multiply
    83,195.73x = 124,749.86 × 71,560.89
  4. Step 4: Simplify right side
    83,195.73x = 8,927,210,651.17
  5. Step 5: Solve for x
    x = 8,927,210,651.17/83,195.73
  6. Step 6: Final answer
    x = 107,303.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.