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Finding the Fourth Proportional to 200,182.78, 276,096.21 and 128,569.46

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Solution

The fourth proportional to 200,182.78, 276,096.21 and 128,569.46 is: 177,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,182.78 : 276,096.21 = 128,569.46 : x
  2. Step 2: Convert to fraction form
    200,182.78/276,096.21 = 128,569.46/x
  3. Step 3: Cross multiply
    200,182.78x = 276,096.21 × 128,569.46
  4. Step 4: Simplify right side
    200,182.78x = 35,497,540,627.75
  5. Step 5: Solve for x
    x = 35,497,540,627.75/200,182.78
  6. Step 6: Final answer
    x = 177,325.65

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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.