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Finding the Fourth Proportional to 256,478.72, 353,958.95 and 141,754.91

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Solution

The fourth proportional to 256,478.72, 353,958.95 and 141,754.91 is: 195,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,478.72 : 353,958.95 = 141,754.91 : x
  2. Step 2: Convert to fraction form
    256,478.72/353,958.95 = 141,754.91/x
  3. Step 3: Cross multiply
    256,478.72x = 353,958.95 × 141,754.91
  4. Step 4: Simplify right side
    256,478.72x = 50,175,416,622.38
  5. Step 5: Solve for x
    x = 50,175,416,622.38/256,478.72
  6. Step 6: Final answer
    x = 195,631.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.