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Finding the Fourth Proportional to 141,647.80, 212,471.70 and 82,550.20

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Solution

The fourth proportional to 141,647.80, 212,471.70 and 82,550.20 is: 123,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,647.80 : 212,471.70 = 82,550.20 : x
  2. Step 2: Convert to fraction form
    141,647.80/212,471.70 = 82,550.20/x
  3. Step 3: Cross multiply
    141,647.80x = 212,471.70 × 82,550.20
  4. Step 4: Simplify right side
    141,647.80x = 17,539,581,329.34
  5. Step 5: Solve for x
    x = 17,539,581,329.34/141,647.80
  6. Step 6: Final answer
    x = 123,825.30

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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.