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Finding the Fourth Proportional to 221,138.68, 305,097.97 and 180,232.47

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Solution

The fourth proportional to 221,138.68, 305,097.97 and 180,232.47 is: 248,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,138.68 : 305,097.97 = 180,232.47 : x
  2. Step 2: Convert to fraction form
    221,138.68/305,097.97 = 180,232.47/x
  3. Step 3: Cross multiply
    221,138.68x = 305,097.97 × 180,232.47
  4. Step 4: Simplify right side
    221,138.68x = 54,988,560,950.38
  5. Step 5: Solve for x
    x = 54,988,560,950.38/221,138.68
  6. Step 6: Final answer
    x = 248,660.98

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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.