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Finding the Fourth Proportional to 226,382.50, 312,670.30 and 150,799.78

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Solution

The fourth proportional to 226,382.50, 312,670.30 and 150,799.78 is: 208,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,382.50 : 312,670.30 = 150,799.78 : x
  2. Step 2: Convert to fraction form
    226,382.50/312,670.30 = 150,799.78/x
  3. Step 3: Cross multiply
    226,382.50x = 312,670.30 × 150,799.78
  4. Step 4: Simplify right side
    226,382.50x = 47,150,612,452.53
  5. Step 5: Solve for x
    x = 47,150,612,452.53/226,382.50
  6. Step 6: Final answer
    x = 208,278.52

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1.5x scale

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.