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Finding the Fourth Proportional to 83,191.75, 114,764.47 and 54,498.90

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Solution

The fourth proportional to 83,191.75, 114,764.47 and 54,498.90 is: 75,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.75 : 114,764.47 = 54,498.90 : x
  2. Step 2: Convert to fraction form
    83,191.75/114,764.47 = 54,498.90/x
  3. Step 3: Cross multiply
    83,191.75x = 114,764.47 × 54,498.90
  4. Step 4: Simplify right side
    83,191.75x = 6,254,537,374.08
  5. Step 5: Solve for x
    x = 6,254,537,374.08/83,191.75
  6. Step 6: Final answer
    x = 75,182.18

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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.