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Finding the Fourth Proportional to 189,704.41, 284,587.49 and 88,603.56

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Solution

The fourth proportional to 189,704.41, 284,587.49 and 88,603.56 is: 132,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,704.41 : 284,587.49 = 88,603.56 : x
  2. Step 2: Convert to fraction form
    189,704.41/284,587.49 = 88,603.56/x
  3. Step 3: Cross multiply
    189,704.41x = 284,587.49 × 88,603.56
  4. Step 4: Simplify right side
    189,704.41x = 25,215,464,966.97
  5. Step 5: Solve for x
    x = 25,215,464,966.97/189,704.41
  6. Step 6: Final answer
    x = 132,919.76

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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.