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Finding the Fourth Proportional to 238,104.97, 357,212 and 103,191.68

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Solution

The fourth proportional to 238,104.97, 357,212 and 103,191.68 is: 154,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,104.97 : 357,212 = 103,191.68 : x
  2. Step 2: Convert to fraction form
    238,104.97/357,212 = 103,191.68/x
  3. Step 3: Cross multiply
    238,104.97x = 357,212 × 103,191.68
  4. Step 4: Simplify right side
    238,104.97x = 36,861,306,396.16
  5. Step 5: Solve for x
    x = 36,861,306,396.16/238,104.97
  6. Step 6: Final answer
    x = 154,811.16

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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.