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Finding the Fourth Proportional to 189,701.60, 284,583.27 and 88,600.75

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Solution

The fourth proportional to 189,701.60, 284,583.27 and 88,600.75 is: 132,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,701.60 : 284,583.27 = 88,600.75 : x
  2. Step 2: Convert to fraction form
    189,701.60/284,583.27 = 88,600.75/x
  3. Step 3: Cross multiply
    189,701.60x = 284,583.27 × 88,600.75
  4. Step 4: Simplify right side
    189,701.60x = 25,214,290,780.25
  5. Step 5: Solve for x
    x = 25,214,290,780.25/189,701.60
  6. Step 6: Final answer
    x = 132,915.54

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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.