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Finding the Fourth Proportional to 83,006.94, 123,863.01 and 74,060.78

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Solution

The fourth proportional to 83,006.94, 123,863.01 and 74,060.78 is: 110,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006.94 : 123,863.01 = 74,060.78 : x
  2. Step 2: Convert to fraction form
    83,006.94/123,863.01 = 74,060.78/x
  3. Step 3: Cross multiply
    83,006.94x = 123,863.01 × 74,060.78
  4. Step 4: Simplify right side
    83,006.94x = 9,173,390,653.30
  5. Step 5: Solve for x
    x = 9,173,390,653.30/83,006.94
  6. Step 6: Final answer
    x = 110,513.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.