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Finding the Fourth Proportional to 311,114.46, 466,666.29 and 100,752.78

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Solution

The fourth proportional to 311,114.46, 466,666.29 and 100,752.78 is: 151,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,114.46 : 466,666.29 = 100,752.78 : x
  2. Step 2: Convert to fraction form
    311,114.46/466,666.29 = 100,752.78/x
  3. Step 3: Cross multiply
    311,114.46x = 466,666.29 × 100,752.78
  4. Step 4: Simplify right side
    311,114.46x = 47,017,926,049.79
  5. Step 5: Solve for x
    x = 47,017,926,049.79/311,114.46
  6. Step 6: Final answer
    x = 151,127.42

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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.