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Finding the Fourth Proportional to 150,824.70, 226,301.85 and 76,952.70

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Solution

The fourth proportional to 150,824.70, 226,301.85 and 76,952.70 is: 115,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,824.70 : 226,301.85 = 76,952.70 : x
  2. Step 2: Convert to fraction form
    150,824.70/226,301.85 = 76,952.70/x
  3. Step 3: Cross multiply
    150,824.70x = 226,301.85 × 76,952.70
  4. Step 4: Simplify right side
    150,824.70x = 17,414,538,372.50
  5. Step 5: Solve for x
    x = 17,414,538,372.50/150,824.70
  6. Step 6: Final answer
    x = 115,462.11

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1.5x scale

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.