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Finding the Fourth Proportional to 82,196.78, 123,196.02 and 40,013.64

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Solution

The fourth proportional to 82,196.78, 123,196.02 and 40,013.64 is: 59,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196.78 : 123,196.02 = 40,013.64 : x
  2. Step 2: Convert to fraction form
    82,196.78/123,196.02 = 40,013.64/x
  3. Step 3: Cross multiply
    82,196.78x = 123,196.02 × 40,013.64
  4. Step 4: Simplify right side
    82,196.78x = 4,929,521,193.71
  5. Step 5: Solve for x
    x = 4,929,521,193.71/82,196.78
  6. Step 6: Final answer
    x = 59,972.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.