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Finding the Fourth Proportional to 142,206.39, 196,247.48 and 78,542.82

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Solution

The fourth proportional to 142,206.39, 196,247.48 and 78,542.82 is: 108,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,206.39 : 196,247.48 = 78,542.82 : x
  2. Step 2: Convert to fraction form
    142,206.39/196,247.48 = 78,542.82/x
  3. Step 3: Cross multiply
    142,206.39x = 196,247.48 × 78,542.82
  4. Step 4: Simplify right side
    142,206.39x = 15,413,830,104.38
  5. Step 5: Solve for x
    x = 15,413,830,104.38/142,206.39
  6. Step 6: Final answer
    x = 108,390.56

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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.