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Finding the Fourth Proportional to 142,488, 196,631.28 and 101,727.36

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Solution

The fourth proportional to 142,488, 196,631.28 and 101,727.36 is: 140,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,488 : 196,631.28 = 101,727.36 : x
  2. Step 2: Convert to fraction form
    142,488/196,631.28 = 101,727.36/x
  3. Step 3: Cross multiply
    142,488x = 196,631.28 × 101,727.36
  4. Step 4: Simplify right side
    142,488x = 20,002,781,007.82
  5. Step 5: Solve for x
    x = 20,002,781,007.82/142,488
  6. Step 6: Final answer
    x = 140,382.21

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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.