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Finding the Fourth Proportional to 235,102.92, 324,534.51 and 158,667

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Solution

The fourth proportional to 235,102.92, 324,534.51 and 158,667 is: 219,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102.92 : 324,534.51 = 158,667 : x
  2. Step 2: Convert to fraction form
    235,102.92/324,534.51 = 158,667/x
  3. Step 3: Cross multiply
    235,102.92x = 324,534.51 × 158,667
  4. Step 4: Simplify right side
    235,102.92x = 51,492,917,098.17
  5. Step 5: Solve for x
    x = 51,492,917,098.17/235,102.92
  6. Step 6: Final answer
    x = 219,022.87

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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.