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Finding the Fourth Proportional to 219,951.68, 329,861.70 and 114,713.24

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Solution

The fourth proportional to 219,951.68, 329,861.70 and 114,713.24 is: 172,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,951.68 : 329,861.70 = 114,713.24 : x
  2. Step 2: Convert to fraction form
    219,951.68/329,861.70 = 114,713.24/x
  3. Step 3: Cross multiply
    219,951.68x = 329,861.70 × 114,713.24
  4. Step 4: Simplify right side
    219,951.68x = 37,839,502,709.60
  5. Step 5: Solve for x
    x = 37,839,502,709.60/219,951.68
  6. Step 6: Final answer
    x = 172,035.53

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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.