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Finding the Fourth Proportional to 189,052.90, 283,481.25 and 55,915.66

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Solution

The fourth proportional to 189,052.90, 283,481.25 and 55,915.66 is: 83,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,052.90 : 283,481.25 = 55,915.66 : x
  2. Step 2: Convert to fraction form
    189,052.90/283,481.25 = 55,915.66/x
  3. Step 3: Cross multiply
    189,052.90x = 283,481.25 × 55,915.66
  4. Step 4: Simplify right side
    189,052.90x = 15,851,041,191.38
  5. Step 5: Solve for x
    x = 15,851,041,191.38/189,052.90
  6. Step 6: Final answer
    x = 83,844.48

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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.