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Finding the Fourth Proportional to 159,924.38, 220,698.37 and 103,434.17

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Solution

The fourth proportional to 159,924.38, 220,698.37 and 103,434.17 is: 142,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,924.38 : 220,698.37 = 103,434.17 : x
  2. Step 2: Convert to fraction form
    159,924.38/220,698.37 = 103,434.17/x
  3. Step 3: Cross multiply
    159,924.38x = 220,698.37 × 103,434.17
  4. Step 4: Simplify right side
    159,924.38x = 22,827,751,747.10
  5. Step 5: Solve for x
    x = 22,827,751,747.10/159,924.38
  6. Step 6: Final answer
    x = 142,740.92

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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.