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Finding the Fourth Proportional to 189,523.86, 261,542.82 and 108,967.11

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Solution

The fourth proportional to 189,523.86, 261,542.82 and 108,967.11 is: 150,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,523.86 : 261,542.82 = 108,967.11 : x
  2. Step 2: Convert to fraction form
    189,523.86/261,542.82 = 108,967.11/x
  3. Step 3: Cross multiply
    189,523.86x = 261,542.82 × 108,967.11
  4. Step 4: Simplify right side
    189,523.86x = 28,499,565,236.65
  5. Step 5: Solve for x
    x = 28,499,565,236.65/189,523.86
  6. Step 6: Final answer
    x = 150,374.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.