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Finding the Fourth Proportional to 274,931.96, 412,462.33 and 85,382.64

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Solution

The fourth proportional to 274,931.96, 412,462.33 and 85,382.64 is: 128,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,931.96 : 412,462.33 = 85,382.64 : x
  2. Step 2: Convert to fraction form
    274,931.96/412,462.33 = 85,382.64/x
  3. Step 3: Cross multiply
    274,931.96x = 412,462.33 × 85,382.64
  4. Step 4: Simplify right side
    274,931.96x = 35,217,122,422.49
  5. Step 5: Solve for x
    x = 35,217,122,422.49/274,931.96
  6. Step 6: Final answer
    x = 128,093.96

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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.