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Finding the Fourth Proportional to 361,524.10, 542,283.42 and 108,803.50

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Solution

The fourth proportional to 361,524.10, 542,283.42 and 108,803.50 is: 163,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,524.10 : 542,283.42 = 108,803.50 : x
  2. Step 2: Convert to fraction form
    361,524.10/542,283.42 = 108,803.50/x
  3. Step 3: Cross multiply
    361,524.10x = 542,283.42 × 108,803.50
  4. Step 4: Simplify right side
    361,524.10x = 59,002,334,087.97
  5. Step 5: Solve for x
    x = 59,002,334,087.97/361,524.10
  6. Step 6: Final answer
    x = 163,204.43

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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.