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Finding the Fourth Proportional to 222,313.64, 306,809.86 and 126,822.44

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Solution

The fourth proportional to 222,313.64, 306,809.86 and 126,822.44 is: 175,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,313.64 : 306,809.86 = 126,822.44 : x
  2. Step 2: Convert to fraction form
    222,313.64/306,809.86 = 126,822.44/x
  3. Step 3: Cross multiply
    222,313.64x = 306,809.86 × 126,822.44
  4. Step 4: Simplify right side
    222,313.64x = 38,910,375,061.26
  5. Step 5: Solve for x
    x = 38,910,375,061.26/222,313.64
  6. Step 6: Final answer
    x = 175,024.69

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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.