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Finding the Fourth Proportional to 83,883.40, 125,825.10 and 77,468.20

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Solution

The fourth proportional to 83,883.40, 125,825.10 and 77,468.20 is: 116,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,883.40 : 125,825.10 = 77,468.20 : x
  2. Step 2: Convert to fraction form
    83,883.40/125,825.10 = 77,468.20/x
  3. Step 3: Cross multiply
    83,883.40x = 125,825.10 × 77,468.20
  4. Step 4: Simplify right side
    83,883.40x = 9,747,444,011.82
  5. Step 5: Solve for x
    x = 9,747,444,011.82/83,883.40
  6. Step 6: Final answer
    x = 116,202.30

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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.