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Finding the Fourth Proportional to 311,860.68, 467,802.72 and 141,049.92

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Solution

The fourth proportional to 311,860.68, 467,802.72 and 141,049.92 is: 211,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860.68 : 467,802.72 = 141,049.92 : x
  2. Step 2: Convert to fraction form
    311,860.68/467,802.72 = 141,049.92/x
  3. Step 3: Cross multiply
    311,860.68x = 467,802.72 × 141,049.92
  4. Step 4: Simplify right side
    311,860.68x = 65,983,536,231.78
  5. Step 5: Solve for x
    x = 65,983,536,231.78/311,860.68
  6. Step 6: Final answer
    x = 211,580.17

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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.