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Finding the Fourth Proportional to 223,850.64, 308,918.16 and 123,248.64

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Solution

The fourth proportional to 223,850.64, 308,918.16 and 123,248.64 is: 170,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,850.64 : 308,918.16 = 123,248.64 : x
  2. Step 2: Convert to fraction form
    223,850.64/308,918.16 = 123,248.64/x
  3. Step 3: Cross multiply
    223,850.64x = 308,918.16 × 123,248.64
  4. Step 4: Simplify right side
    223,850.64x = 38,073,743,091.30
  5. Step 5: Solve for x
    x = 38,073,743,091.30/223,850.64
  6. Step 6: Final answer
    x = 170,085.48

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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.