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Finding the Fourth Proportional to 83,253.67, 114,813.38 and 54,562.88

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Solution

The fourth proportional to 83,253.67, 114,813.38 and 54,562.88 is: 75,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,253.67 : 114,813.38 = 54,562.88 : x
  2. Step 2: Convert to fraction form
    83,253.67/114,813.38 = 54,562.88/x
  3. Step 3: Cross multiply
    83,253.67x = 114,813.38 × 54,562.88
  4. Step 4: Simplify right side
    83,253.67x = 6,264,549,098.78
  5. Step 5: Solve for x
    x = 6,264,549,098.78/83,253.67
  6. Step 6: Final answer
    x = 75,246.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.