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Finding the Fourth Proportional to 100,815.39, 139,093.92 and 57,200.76

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Solution

The fourth proportional to 100,815.39, 139,093.92 and 57,200.76 is: 78,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,815.39 : 139,093.92 = 57,200.76 : x
  2. Step 2: Convert to fraction form
    100,815.39/139,093.92 = 57,200.76/x
  3. Step 3: Cross multiply
    100,815.39x = 139,093.92 × 57,200.76
  4. Step 4: Simplify right side
    100,815.39x = 7,956,277,935.38
  5. Step 5: Solve for x
    x = 7,956,277,935.38/100,815.39
  6. Step 6: Final answer
    x = 78,919.28

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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.