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Finding the Fourth Proportional to 561,540.70, 842,060.76 and 162,086.50

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Solution

The fourth proportional to 561,540.70, 842,060.76 and 162,086.50 is: 243,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,540.70 : 842,060.76 = 162,086.50 : x
  2. Step 2: Convert to fraction form
    561,540.70/842,060.76 = 162,086.50/x
  3. Step 3: Cross multiply
    561,540.70x = 842,060.76 × 162,086.50
  4. Step 4: Simplify right side
    561,540.70x = 136,486,681,375.74
  5. Step 5: Solve for x
    x = 136,486,681,375.74/561,540.70
  6. Step 6: Final answer
    x = 243,057.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.