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Finding the Fourth Proportional to 142,174.38, 196,200.72 and 77,644.50

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Solution

The fourth proportional to 142,174.38, 196,200.72 and 77,644.50 is: 107,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,174.38 : 196,200.72 = 77,644.50 : x
  2. Step 2: Convert to fraction form
    142,174.38/196,200.72 = 77,644.50/x
  3. Step 3: Cross multiply
    142,174.38x = 196,200.72 × 77,644.50
  4. Step 4: Simplify right side
    142,174.38x = 15,233,906,804.04
  5. Step 5: Solve for x
    x = 15,233,906,804.04/142,174.38
  6. Step 6: Final answer
    x = 107,149.45

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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.