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Finding the Fourth Proportional to 82,422.80, 123,634.20 and 81,808.40

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Solution

The fourth proportional to 82,422.80, 123,634.20 and 81,808.40 is: 122,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422.80 : 123,634.20 = 81,808.40 : x
  2. Step 2: Convert to fraction form
    82,422.80/123,634.20 = 81,808.40/x
  3. Step 3: Cross multiply
    82,422.80x = 123,634.20 × 81,808.40
  4. Step 4: Simplify right side
    82,422.80x = 10,114,316,087.28
  5. Step 5: Solve for x
    x = 10,114,316,087.28/82,422.80
  6. Step 6: Final answer
    x = 122,712.60

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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.