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Finding the Fourth Proportional to 215,666.40, 323,488.56 and 82,610.40

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Solution

The fourth proportional to 215,666.40, 323,488.56 and 82,610.40 is: 123,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,666.40 : 323,488.56 = 82,610.40 : x
  2. Step 2: Convert to fraction form
    215,666.40/323,488.56 = 82,610.40/x
  3. Step 3: Cross multiply
    215,666.40x = 323,488.56 × 82,610.40
  4. Step 4: Simplify right side
    215,666.40x = 26,723,519,337.02
  5. Step 5: Solve for x
    x = 26,723,519,337.02/215,666.40
  6. Step 6: Final answer
    x = 123,911.37

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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.