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Finding the Fourth Proportional to 83,251.28, 114,978.12 and 56,519.12

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Solution

The fourth proportional to 83,251.28, 114,978.12 and 56,519.12 is: 78,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,251.28 : 114,978.12 = 56,519.12 : x
  2. Step 2: Convert to fraction form
    83,251.28/114,978.12 = 56,519.12/x
  3. Step 3: Cross multiply
    83,251.28x = 114,978.12 × 56,519.12
  4. Step 4: Simplify right side
    83,251.28x = 6,498,462,161.65
  5. Step 5: Solve for x
    x = 6,498,462,161.65/83,251.28
  6. Step 6: Final answer
    x = 78,058.41

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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.