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Finding the Fourth Proportional to 78,166.11, 107,869.61 and 42,356.11

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Solution

The fourth proportional to 78,166.11, 107,869.61 and 42,356.11 is: 58,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166.11 : 107,869.61 = 42,356.11 : x
  2. Step 2: Convert to fraction form
    78,166.11/107,869.61 = 42,356.11/x
  3. Step 3: Cross multiply
    78,166.11x = 107,869.61 × 42,356.11
  4. Step 4: Simplify right side
    78,166.11x = 4,568,936,855.04
  5. Step 5: Solve for x
    x = 4,568,936,855.04/78,166.11
  6. Step 6: Final answer
    x = 58,451.63

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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.