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Finding the Fourth Proportional to 214,377.65, 321,759.20 and 114,623.11

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Solution

The fourth proportional to 214,377.65, 321,759.20 and 114,623.11 is: 172,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,377.65 : 321,759.20 = 114,623.11 : x
  2. Step 2: Convert to fraction form
    214,377.65/321,759.20 = 114,623.11/x
  3. Step 3: Cross multiply
    214,377.65x = 321,759.20 × 114,623.11
  4. Step 4: Simplify right side
    214,377.65x = 36,881,038,797.60
  5. Step 5: Solve for x
    x = 36,881,038,797.60/214,377.65
  6. Step 6: Final answer
    x = 172,037.71

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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.