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Finding the Fourth Proportional to 142,206.76, 196,237.38 and 78,542.92

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Solution

The fourth proportional to 142,206.76, 196,237.38 and 78,542.92 is: 108,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,206.76 : 196,237.38 = 78,542.92 : x
  2. Step 2: Convert to fraction form
    142,206.76/196,237.38 = 78,542.92/x
  3. Step 3: Cross multiply
    142,206.76x = 196,237.38 × 78,542.92
  4. Step 4: Simplify right side
    142,206.76x = 15,413,056,838.35
  5. Step 5: Solve for x
    x = 15,413,056,838.35/142,206.76
  6. Step 6: Final answer
    x = 108,384.84

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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.