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Finding the Fourth Proportional to 311,872.14, 467,865.92 and 98,693.64

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Solution

The fourth proportional to 311,872.14, 467,865.92 and 98,693.64 is: 148,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,872.14 : 467,865.92 = 98,693.64 : x
  2. Step 2: Convert to fraction form
    311,872.14/467,865.92 = 98,693.64/x
  3. Step 3: Cross multiply
    311,872.14x = 467,865.92 × 98,693.64
  4. Step 4: Simplify right side
    311,872.14x = 46,175,390,923.48
  5. Step 5: Solve for x
    x = 46,175,390,923.48/311,872.14
  6. Step 6: Final answer
    x = 148,058.72

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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.