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Finding the Fourth Proportional to 82,773, 123,864.12 and 71,717.58

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Solution

The fourth proportional to 82,773, 123,864.12 and 71,717.58 is: 107,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,773 : 123,864.12 = 71,717.58 : x
  2. Step 2: Convert to fraction form
    82,773/123,864.12 = 71,717.58/x
  3. Step 3: Cross multiply
    82,773x = 123,864.12 × 71,717.58
  4. Step 4: Simplify right side
    82,773x = 8,883,234,935.23
  5. Step 5: Solve for x
    x = 8,883,234,935.23/82,773
  6. Step 6: Final answer
    x = 107,320.44

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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.