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Finding the Fourth Proportional to 235,839.74, 353,817.92 and 78,084.14

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Solution

The fourth proportional to 235,839.74, 353,817.92 and 78,084.14 is: 117,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,839.74 : 353,817.92 = 78,084.14 : x
  2. Step 2: Convert to fraction form
    235,839.74/353,817.92 = 78,084.14/x
  3. Step 3: Cross multiply
    235,839.74x = 353,817.92 × 78,084.14
  4. Step 4: Simplify right side
    235,839.74x = 27,627,566,425.91
  5. Step 5: Solve for x
    x = 27,627,566,425.91/235,839.74
  6. Step 6: Final answer
    x = 117,145.51

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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.