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Finding the Fourth Proportional to 311,401.10, 467,216.85 and 101,045.90

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Solution

The fourth proportional to 311,401.10, 467,216.85 and 101,045.90 is: 151,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,401.10 : 467,216.85 = 101,045.90 : x
  2. Step 2: Convert to fraction form
    311,401.10/467,216.85 = 101,045.90/x
  3. Step 3: Cross multiply
    311,401.10x = 467,216.85 × 101,045.90
  4. Step 4: Simplify right side
    311,401.10x = 47,210,347,103.42
  5. Step 5: Solve for x
    x = 47,210,347,103.42/311,401.10
  6. Step 6: Final answer
    x = 151,606.23

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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.