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Finding the Fourth Proportional to 193,511.80, 289,878.90 and 134,414.20

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Solution

The fourth proportional to 193,511.80, 289,878.90 and 134,414.20 is: 201,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,511.80 : 289,878.90 = 134,414.20 : x
  2. Step 2: Convert to fraction form
    193,511.80/289,878.90 = 134,414.20/x
  3. Step 3: Cross multiply
    193,511.80x = 289,878.90 × 134,414.20
  4. Step 4: Simplify right side
    193,511.80x = 38,963,840,440.38
  5. Step 5: Solve for x
    x = 38,963,840,440.38/193,511.80
  6. Step 6: Final answer
    x = 201,351.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.