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Finding the Fourth Proportional to 273,535.80, 410,262.66 and 86,523

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Solution

The fourth proportional to 273,535.80, 410,262.66 and 86,523 is: 129,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,535.80 : 410,262.66 = 86,523 : x
  2. Step 2: Convert to fraction form
    273,535.80/410,262.66 = 86,523/x
  3. Step 3: Cross multiply
    273,535.80x = 410,262.66 × 86,523
  4. Step 4: Simplify right side
    273,535.80x = 35,497,156,131.18
  5. Step 5: Solve for x
    x = 35,497,156,131.18/273,535.80
  6. Step 6: Final answer
    x = 129,771.52

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