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Finding the Fourth Proportional to 256,392.17, 353,819.81 and 141,678.71

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Solution

The fourth proportional to 256,392.17, 353,819.81 and 141,678.71 is: 195,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,392.17 : 353,819.81 = 141,678.71 : x
  2. Step 2: Convert to fraction form
    256,392.17/353,819.81 = 141,678.71/x
  3. Step 3: Cross multiply
    256,392.17x = 353,819.81 × 141,678.71
  4. Step 4: Simplify right side
    256,392.17x = 50,128,731,775.75
  5. Step 5: Solve for x
    x = 50,128,731,775.75/256,392.17
  6. Step 6: Final answer
    x = 195,515.85

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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.