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Finding the Fourth Proportional to 222,843.76, 307,546.48 and 127,364.16

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Solution

The fourth proportional to 222,843.76, 307,546.48 and 127,364.16 is: 175,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,843.76 : 307,546.48 = 127,364.16 : x
  2. Step 2: Convert to fraction form
    222,843.76/307,546.48 = 127,364.16/x
  3. Step 3: Cross multiply
    222,843.76x = 307,546.48 × 127,364.16
  4. Step 4: Simplify right side
    222,843.76x = 39,170,399,086.16
  5. Step 5: Solve for x
    x = 39,170,399,086.16/222,843.76
  6. Step 6: Final answer
    x = 175,775.17

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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.