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Finding the Fourth Proportional to 82,332.20, 123,498.30 and 81,457.40

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Solution

The fourth proportional to 82,332.20, 123,498.30 and 81,457.40 is: 122,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,332.20 : 123,498.30 = 81,457.40 : x
  2. Step 2: Convert to fraction form
    82,332.20/123,498.30 = 81,457.40/x
  3. Step 3: Cross multiply
    82,332.20x = 123,498.30 × 81,457.40
  4. Step 4: Simplify right side
    82,332.20x = 10,059,850,422.42
  5. Step 5: Solve for x
    x = 10,059,850,422.42/82,332.20
  6. Step 6: Final answer
    x = 122,186.10

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