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Finding the Fourth Proportional to 189,672.30, 284,648.76 and 89,832.66

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Solution

The fourth proportional to 189,672.30, 284,648.76 and 89,832.66 is: 134,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,672.30 : 284,648.76 = 89,832.66 : x
  2. Step 2: Convert to fraction form
    189,672.30/284,648.76 = 89,832.66/x
  3. Step 3: Cross multiply
    189,672.30x = 284,648.76 × 89,832.66
  4. Step 4: Simplify right side
    189,672.30x = 25,570,755,276.50
  5. Step 5: Solve for x
    x = 25,570,755,276.50/189,672.30
  6. Step 6: Final answer
    x = 134,815.44

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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.