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Finding the Fourth Proportional to 83,901.60, 125,852.40 and 82,443.60

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Solution

The fourth proportional to 83,901.60, 125,852.40 and 82,443.60 is: 123,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,901.60 : 125,852.40 = 82,443.60 : x
  2. Step 2: Convert to fraction form
    83,901.60/125,852.40 = 82,443.60/x
  3. Step 3: Cross multiply
    83,901.60x = 125,852.40 × 82,443.60
  4. Step 4: Simplify right side
    83,901.60x = 10,375,724,924.64
  5. Step 5: Solve for x
    x = 10,375,724,924.64/83,901.60
  6. Step 6: Final answer
    x = 123,665.40

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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.