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Finding the Fourth Proportional to 142,414.38, 196,523.64 and 78,748.02

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Solution

The fourth proportional to 142,414.38, 196,523.64 and 78,748.02 is: 108,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,414.38 : 196,523.64 = 78,748.02 : x
  2. Step 2: Convert to fraction form
    142,414.38/196,523.64 = 78,748.02/x
  3. Step 3: Cross multiply
    142,414.38x = 196,523.64 × 78,748.02
  4. Step 4: Simplify right side
    142,414.38x = 15,475,847,533.19
  5. Step 5: Solve for x
    x = 15,475,847,533.19/142,414.38
  6. Step 6: Final answer
    x = 108,667.73

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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.