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Finding the Fourth Proportional to 159,414, 239,224.68 and 60,918

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Solution

The fourth proportional to 159,414, 239,224.68 and 60,918 is: 91,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,414 : 239,224.68 = 60,918 : x
  2. Step 2: Convert to fraction form
    159,414/239,224.68 = 60,918/x
  3. Step 3: Cross multiply
    159,414x = 239,224.68 × 60,918
  4. Step 4: Simplify right side
    159,414x = 14,573,089,056.24
  5. Step 5: Solve for x
    x = 14,573,089,056.24/159,414
  6. Step 6: Final answer
    x = 91,416.62

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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.