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Finding the Fourth Proportional to 200,634.64, 276,868.45 and 109,988.62

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Solution

The fourth proportional to 200,634.64, 276,868.45 and 109,988.62 is: 151,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,634.64 : 276,868.45 = 109,988.62 : x
  2. Step 2: Convert to fraction form
    200,634.64/276,868.45 = 109,988.62/x
  3. Step 3: Cross multiply
    200,634.64x = 276,868.45 × 109,988.62
  4. Step 4: Simplify right side
    200,634.64x = 30,452,377,211.65
  5. Step 5: Solve for x
    x = 30,452,377,211.65/200,634.64
  6. Step 6: Final answer
    x = 151,780.26

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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.