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Finding the Fourth Proportional to 100,356.75, 138,488.13 and 60,093

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Solution

The fourth proportional to 100,356.75, 138,488.13 and 60,093 is: 82,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,356.75 : 138,488.13 = 60,093 : x
  2. Step 2: Convert to fraction form
    100,356.75/138,488.13 = 60,093/x
  3. Step 3: Cross multiply
    100,356.75x = 138,488.13 × 60,093
  4. Step 4: Simplify right side
    100,356.75x = 8,322,167,196.09
  5. Step 5: Solve for x
    x = 8,322,167,196.09/100,356.75
  6. Step 6: Final answer
    x = 82,925.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.