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Finding the Fourth Proportional to 83,468.10, 125,202.02 and 55,442.82

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Solution

The fourth proportional to 83,468.10, 125,202.02 and 55,442.82 is: 83,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,468.10 : 125,202.02 = 55,442.82 : x
  2. Step 2: Convert to fraction form
    83,468.10/125,202.02 = 55,442.82/x
  3. Step 3: Cross multiply
    83,468.10x = 125,202.02 × 55,442.82
  4. Step 4: Simplify right side
    83,468.10x = 6,941,552,781.28
  5. Step 5: Solve for x
    x = 6,941,552,781.28/83,468.10
  6. Step 6: Final answer
    x = 83,164.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.