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Finding the Fourth Proportional to 82,393.50, 123,590.17 and 71,267.11

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Solution

The fourth proportional to 82,393.50, 123,590.17 and 71,267.11 is: 106,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,393.50 : 123,590.17 = 71,267.11 : x
  2. Step 2: Convert to fraction form
    82,393.50/123,590.17 = 71,267.11/x
  3. Step 3: Cross multiply
    82,393.50x = 123,590.17 × 71,267.11
  4. Step 4: Simplify right side
    82,393.50x = 8,807,914,240.31
  5. Step 5: Solve for x
    x = 8,807,914,240.31/82,393.50
  6. Step 6: Final answer
    x = 106,900.60

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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.