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Finding the Fourth Proportional to 311,872.14, 467,865.88 and 98,693.72

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Solution

The fourth proportional to 311,872.14, 467,865.88 and 98,693.72 is: 148,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,872.14 : 467,865.88 = 98,693.72 : x
  2. Step 2: Convert to fraction form
    311,872.14/467,865.88 = 98,693.72/x
  3. Step 3: Cross multiply
    311,872.14x = 467,865.88 × 98,693.72
  4. Step 4: Simplify right side
    311,872.14x = 46,175,424,158.27
  5. Step 5: Solve for x
    x = 46,175,424,158.27/311,872.14
  6. Step 6: Final answer
    x = 148,058.83

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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.