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Finding the Fourth Proportional to 311,951.08, 467,965.50 and 101,532.52

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Solution

The fourth proportional to 311,951.08, 467,965.50 and 101,532.52 is: 152,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,951.08 : 467,965.50 = 101,532.52 : x
  2. Step 2: Convert to fraction form
    311,951.08/467,965.50 = 101,532.52/x
  3. Step 3: Cross multiply
    311,951.08x = 467,965.50 × 101,532.52
  4. Step 4: Simplify right side
    311,951.08x = 47,513,716,488.06
  5. Step 5: Solve for x
    x = 47,513,716,488.06/311,951.08
  6. Step 6: Final answer
    x = 152,311.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.