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Finding the Fourth Proportional to 312,147.46, 468,042.34 and 95,949.88

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Solution

The fourth proportional to 312,147.46, 468,042.34 and 95,949.88 is: 143,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,147.46 : 468,042.34 = 95,949.88 : x
  2. Step 2: Convert to fraction form
    312,147.46/468,042.34 = 95,949.88/x
  3. Step 3: Cross multiply
    312,147.46x = 468,042.34 × 95,949.88
  4. Step 4: Simplify right side
    312,147.46x = 44,908,606,357.92
  5. Step 5: Solve for x
    x = 44,908,606,357.92/312,147.46
  6. Step 6: Final answer
    x = 143,869.84

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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.