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Finding the Fourth Proportional to 200,214.50, 276,292.31 and 109,568.64

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Solution

The fourth proportional to 200,214.50, 276,292.31 and 109,568.64 is: 151,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,214.50 : 276,292.31 = 109,568.64 : x
  2. Step 2: Convert to fraction form
    200,214.50/276,292.31 = 109,568.64/x
  3. Step 3: Cross multiply
    200,214.50x = 276,292.31 × 109,568.64
  4. Step 4: Simplify right side
    200,214.50x = 30,272,972,101.32
  5. Step 5: Solve for x
    x = 30,272,972,101.32/200,214.50
  6. Step 6: Final answer
    x = 151,202.70

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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.