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Finding the Fourth Proportional to 83,199, 114,774.48 and 54,506.20

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Solution

The fourth proportional to 83,199, 114,774.48 and 54,506.20 is: 75,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,199 : 114,774.48 = 54,506.20 : x
  2. Step 2: Convert to fraction form
    83,199/114,774.48 = 54,506.20/x
  3. Step 3: Cross multiply
    83,199x = 114,774.48 × 54,506.20
  4. Step 4: Simplify right side
    83,199x = 6,255,920,761.78
  5. Step 5: Solve for x
    x = 6,255,920,761.78/83,199
  6. Step 6: Final answer
    x = 75,192.26

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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.