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Finding the Fourth Proportional to 381,509.96, 572,265.02 and 101,049.16

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Solution

The fourth proportional to 381,509.96, 572,265.02 and 101,049.16 is: 151,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,509.96 : 572,265.02 = 101,049.16 : x
  2. Step 2: Convert to fraction form
    381,509.96/572,265.02 = 101,049.16/x
  3. Step 3: Cross multiply
    381,509.96x = 572,265.02 × 101,049.16
  4. Step 4: Simplify right side
    381,509.96x = 57,826,899,568.38
  5. Step 5: Solve for x
    x = 57,826,899,568.38/381,509.96
  6. Step 6: Final answer
    x = 151,573.76

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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.