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Finding the Fourth Proportional to 311,813.55, 467,769.33 and 101,402.28

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Solution

The fourth proportional to 311,813.55, 467,769.33 and 101,402.28 is: 152,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,813.55 : 467,769.33 = 101,402.28 : x
  2. Step 2: Convert to fraction form
    311,813.55/467,769.33 = 101,402.28/x
  3. Step 3: Cross multiply
    311,813.55x = 467,769.33 × 101,402.28
  4. Step 4: Simplify right side
    311,813.55x = 47,432,876,576.07
  5. Step 5: Solve for x
    x = 47,432,876,576.07/311,813.55
  6. Step 6: Final answer
    x = 152,119.36

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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.