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Finding the Fourth Proportional to 311,734.38, 467,656.65 and 101,335.26

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Solution

The fourth proportional to 311,734.38, 467,656.65 and 101,335.26 is: 152,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,734.38 : 467,656.65 = 101,335.26 : x
  2. Step 2: Convert to fraction form
    311,734.38/467,656.65 = 101,335.26/x
  3. Step 3: Cross multiply
    311,734.38x = 467,656.65 × 101,335.26
  4. Step 4: Simplify right side
    311,734.38x = 47,390,108,218.48
  5. Step 5: Solve for x
    x = 47,390,108,218.48/311,734.38
  6. Step 6: Final answer
    x = 152,020.79

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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.