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Finding the Fourth Proportional to 200,324.51, 276,447.84 and 109,680.48

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Solution

The fourth proportional to 200,324.51, 276,447.84 and 109,680.48 is: 151,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,324.51 : 276,447.84 = 109,680.48 : x
  2. Step 2: Convert to fraction form
    200,324.51/276,447.84 = 109,680.48/x
  3. Step 3: Cross multiply
    200,324.51x = 276,447.84 × 109,680.48
  4. Step 4: Simplify right side
    200,324.51x = 30,320,931,374.86
  5. Step 5: Solve for x
    x = 30,320,931,374.86/200,324.51
  6. Step 6: Final answer
    x = 151,359.07

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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.