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Finding the Fourth Proportional to 311,102.92, 466,728.90 and 100,741.24

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Solution

The fourth proportional to 311,102.92, 466,728.90 and 100,741.24 is: 151,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,102.92 : 466,728.90 = 100,741.24 : x
  2. Step 2: Convert to fraction form
    311,102.92/466,728.90 = 100,741.24/x
  3. Step 3: Cross multiply
    311,102.92x = 466,728.90 × 100,741.24
  4. Step 4: Simplify right side
    311,102.92x = 47,018,848,129.84
  5. Step 5: Solve for x
    x = 47,018,848,129.84/311,102.92
  6. Step 6: Final answer
    x = 151,135.99

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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.