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Finding the Fourth Proportional to 82,295.80, 123,443.70 and 72,446.20

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Solution

The fourth proportional to 82,295.80, 123,443.70 and 72,446.20 is: 108,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,295.80 : 123,443.70 = 72,446.20 : x
  2. Step 2: Convert to fraction form
    82,295.80/123,443.70 = 72,446.20/x
  3. Step 3: Cross multiply
    82,295.80x = 123,443.70 × 72,446.20
  4. Step 4: Simplify right side
    82,295.80x = 8,943,026,978.94
  5. Step 5: Solve for x
    x = 8,943,026,978.94/82,295.80
  6. Step 6: Final answer
    x = 108,669.30

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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.