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Finding the Fourth Proportional to 83,107.19, 114,647.89 and 54,414.20

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Solution

The fourth proportional to 83,107.19, 114,647.89 and 54,414.20 is: 75,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,107.19 : 114,647.89 = 54,414.20 : x
  2. Step 2: Convert to fraction form
    83,107.19/114,647.89 = 54,414.20/x
  3. Step 3: Cross multiply
    83,107.19x = 114,647.89 × 54,414.20
  4. Step 4: Simplify right side
    83,107.19x = 6,238,473,216.04
  5. Step 5: Solve for x
    x = 6,238,473,216.04/83,107.19
  6. Step 6: Final answer
    x = 75,065.39

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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.