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Finding the Fourth Proportional to 199,348.66, 275,097.09 and 109,924.66

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Solution

The fourth proportional to 199,348.66, 275,097.09 and 109,924.66 is: 151,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,348.66 : 275,097.09 = 109,924.66 : x
  2. Step 2: Convert to fraction form
    199,348.66/275,097.09 = 109,924.66/x
  3. Step 3: Cross multiply
    199,348.66x = 275,097.09 × 109,924.66
  4. Step 4: Simplify right side
    199,348.66x = 30,239,954,085.24
  5. Step 5: Solve for x
    x = 30,239,954,085.24/199,348.66
  6. Step 6: Final answer
    x = 151,693.79

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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.