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Finding the Fourth Proportional to 82,143.40, 123,215.10 and 55,899.40

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Solution

The fourth proportional to 82,143.40, 123,215.10 and 55,899.40 is: 83,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,143.40 : 123,215.10 = 55,899.40 : x
  2. Step 2: Convert to fraction form
    82,143.40/123,215.10 = 55,899.40/x
  3. Step 3: Cross multiply
    82,143.40x = 123,215.10 × 55,899.40
  4. Step 4: Simplify right side
    82,143.40x = 6,887,650,160.94
  5. Step 5: Solve for x
    x = 6,887,650,160.94/82,143.40
  6. Step 6: Final answer
    x = 83,849.10

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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.