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Finding the Fourth Proportional to 189,951.38, 284,675.39 and 101,013.38

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Solution

The fourth proportional to 189,951.38, 284,675.39 and 101,013.38 is: 151,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,951.38 : 284,675.39 = 101,013.38 : x
  2. Step 2: Convert to fraction form
    189,951.38/284,675.39 = 101,013.38/x
  3. Step 3: Cross multiply
    189,951.38x = 284,675.39 × 101,013.38
  4. Step 4: Simplify right side
    189,951.38x = 28,756,023,346.72
  5. Step 5: Solve for x
    x = 28,756,023,346.72/189,951.38
  6. Step 6: Final answer
    x = 151,386.23

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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.