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Finding the Fourth Proportional to 274,936.04, 412,404.28 and 75,258.08

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Solution

The fourth proportional to 274,936.04, 412,404.28 and 75,258.08 is: 112,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,936.04 : 412,404.28 = 75,258.08 : x
  2. Step 2: Convert to fraction form
    274,936.04/412,404.28 = 75,258.08/x
  3. Step 3: Cross multiply
    274,936.04x = 412,404.28 × 75,258.08
  4. Step 4: Simplify right side
    274,936.04x = 31,036,752,046.42
  5. Step 5: Solve for x
    x = 31,036,752,046.42/274,936.04
  6. Step 6: Final answer
    x = 112,887.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.