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Finding the Fourth Proportional to 82,017.40, 123,026.10 and 80,462.20

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Solution

The fourth proportional to 82,017.40, 123,026.10 and 80,462.20 is: 120,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017.40 : 123,026.10 = 80,462.20 : x
  2. Step 2: Convert to fraction form
    82,017.40/123,026.10 = 80,462.20/x
  3. Step 3: Cross multiply
    82,017.40x = 123,026.10 × 80,462.20
  4. Step 4: Simplify right side
    82,017.40x = 9,898,950,663.42
  5. Step 5: Solve for x
    x = 9,898,950,663.42/82,017.40
  6. Step 6: Final answer
    x = 120,693.30

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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.