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Finding the Fourth Proportional to 235,102.70, 324,541.03 and 158,725.24

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Solution

The fourth proportional to 235,102.70, 324,541.03 and 158,725.24 is: 219,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102.70 : 324,541.03 = 158,725.24 : x
  2. Step 2: Convert to fraction form
    235,102.70/324,541.03 = 158,725.24/x
  3. Step 3: Cross multiply
    235,102.70x = 324,541.03 × 158,725.24
  4. Step 4: Simplify right side
    235,102.70x = 51,512,852,876.60
  5. Step 5: Solve for x
    x = 51,512,852,876.60/235,102.70
  6. Step 6: Final answer
    x = 219,107.87

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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.