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Finding the Fourth Proportional to 232,592.37, 321,012.18 and 142,000.86

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Solution

The fourth proportional to 232,592.37, 321,012.18 and 142,000.86 is: 195,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,592.37 : 321,012.18 = 142,000.86 : x
  2. Step 2: Convert to fraction form
    232,592.37/321,012.18 = 142,000.86/x
  3. Step 3: Cross multiply
    232,592.37x = 321,012.18 × 142,000.86
  4. Step 4: Simplify right side
    232,592.37x = 45,584,005,630.47
  5. Step 5: Solve for x
    x = 45,584,005,630.47/232,592.37
  6. Step 6: Final answer
    x = 195,982.38

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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.