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Finding the Fourth Proportional to 189,287.38, 284,106.03 and 95,858.74

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Solution

The fourth proportional to 189,287.38, 284,106.03 and 95,858.74 is: 143,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,287.38 : 284,106.03 = 95,858.74 : x
  2. Step 2: Convert to fraction form
    189,287.38/284,106.03 = 95,858.74/x
  3. Step 3: Cross multiply
    189,287.38x = 284,106.03 × 95,858.74
  4. Step 4: Simplify right side
    189,287.38x = 27,234,046,062.20
  5. Step 5: Solve for x
    x = 27,234,046,062.20/189,287.38
  6. Step 6: Final answer
    x = 143,876.71

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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.