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Finding the Fourth Proportional to 142,496.80, 196,644.72 and 78,833.24

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Solution

The fourth proportional to 142,496.80, 196,644.72 and 78,833.24 is: 108,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,496.80 : 196,644.72 = 78,833.24 : x
  2. Step 2: Convert to fraction form
    142,496.80/196,644.72 = 78,833.24/x
  3. Step 3: Cross multiply
    142,496.80x = 196,644.72 × 78,833.24
  4. Step 4: Simplify right side
    142,496.80x = 15,502,140,406.49
  5. Step 5: Solve for x
    x = 15,502,140,406.49/142,496.80
  6. Step 6: Final answer
    x = 108,789.39

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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.