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Finding the Fourth Proportional to 264,559.38, 396,915.84 and 96,076.86

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Solution

The fourth proportional to 264,559.38, 396,915.84 and 96,076.86 is: 144,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,559.38 : 396,915.84 = 96,076.86 : x
  2. Step 2: Convert to fraction form
    264,559.38/396,915.84 = 96,076.86/x
  3. Step 3: Cross multiply
    264,559.38x = 396,915.84 × 96,076.86
  4. Step 4: Simplify right side
    264,559.38x = 38,134,427,591.46
  5. Step 5: Solve for x
    x = 38,134,427,591.46/264,559.38
  6. Step 6: Final answer
    x = 144,143.17

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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.