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Finding the Fourth Proportional to 200,218.50, 276,301.49 and 109,574.51

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Solution

The fourth proportional to 200,218.50, 276,301.49 and 109,574.51 is: 151,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,218.50 : 276,301.49 = 109,574.51 : x
  2. Step 2: Convert to fraction form
    200,218.50/276,301.49 = 109,574.51/x
  3. Step 3: Cross multiply
    200,218.50x = 276,301.49 × 109,574.51
  4. Step 4: Simplify right side
    200,218.50x = 30,275,598,449.64
  5. Step 5: Solve for x
    x = 30,275,598,449.64/200,218.50
  6. Step 6: Final answer
    x = 151,212.79

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1.5x scale

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.