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Finding the Fourth Proportional to 223,512.84, 308,449.32 and 121,537.57

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Solution

The fourth proportional to 223,512.84, 308,449.32 and 121,537.57 is: 167,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,512.84 : 308,449.32 = 121,537.57 : x
  2. Step 2: Convert to fraction form
    223,512.84/308,449.32 = 121,537.57/x
  3. Step 3: Cross multiply
    223,512.84x = 308,449.32 × 121,537.57
  4. Step 4: Simplify right side
    223,512.84x = 37,488,180,251.38
  5. Step 5: Solve for x
    x = 37,488,180,251.38/223,512.84
  6. Step 6: Final answer
    x = 167,722.72

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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.