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Finding the Fourth Proportional to 150,376.90, 207,528.82 and 82,394

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Solution

The fourth proportional to 150,376.90, 207,528.82 and 82,394 is: 113,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,376.90 : 207,528.82 = 82,394 : x
  2. Step 2: Convert to fraction form
    150,376.90/207,528.82 = 82,394/x
  3. Step 3: Cross multiply
    150,376.90x = 207,528.82 × 82,394
  4. Step 4: Simplify right side
    150,376.90x = 17,099,129,595.08
  5. Step 5: Solve for x
    x = 17,099,129,595.08/150,376.90
  6. Step 6: Final answer
    x = 113,708.49

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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.