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Finding the Fourth Proportional to 82,001.35, 123,002.03 and 82,001.35

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Solution

The fourth proportional to 82,001.35, 123,002.03 and 82,001.35 is: 123,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,001.35 : 123,002.03 = 82,001.35 : x
  2. Step 2: Convert to fraction form
    82,001.35/123,002.03 = 82,001.35/x
  3. Step 3: Cross multiply
    82,001.35x = 123,002.03 × 82,001.35
  4. Step 4: Simplify right side
    82,001.35x = 10,086,332,102.73
  5. Step 5: Solve for x
    x = 10,086,332,102.73/82,001.35
  6. Step 6: Final answer
    x = 123,002.03

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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.