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Finding the Fourth Proportional to 223,718.32, 308,661.76 and 126,906.24

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Solution

The fourth proportional to 223,718.32, 308,661.76 and 126,906.24 is: 175,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,718.32 : 308,661.76 = 126,906.24 : x
  2. Step 2: Convert to fraction form
    223,718.32/308,661.76 = 126,906.24/x
  3. Step 3: Cross multiply
    223,718.32x = 308,661.76 × 126,906.24
  4. Step 4: Simplify right side
    223,718.32x = 39,171,103,393.38
  5. Step 5: Solve for x
    x = 39,171,103,393.38/223,718.32
  6. Step 6: Final answer
    x = 175,091.17

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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.