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Finding the Fourth Proportional to 281,113.92, 388,173.60 and 200,787.84

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Solution

The fourth proportional to 281,113.92, 388,173.60 and 200,787.84 is: 277,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,113.92 : 388,173.60 = 200,787.84 : x
  2. Step 2: Convert to fraction form
    281,113.92/388,173.60 = 200,787.84/x
  3. Step 3: Cross multiply
    281,113.92x = 388,173.60 × 200,787.84
  4. Step 4: Simplify right side
    281,113.92x = 77,940,538,689.02
  5. Step 5: Solve for x
    x = 77,940,538,689.02/281,113.92
  6. Step 6: Final answer
    x = 277,256.06

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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.