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Finding the Fourth Proportional to 173,834.20, 260,751.30 and 134,468.20

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Solution

The fourth proportional to 173,834.20, 260,751.30 and 134,468.20 is: 201,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,834.20 : 260,751.30 = 134,468.20 : x
  2. Step 2: Convert to fraction form
    173,834.20/260,751.30 = 134,468.20/x
  3. Step 3: Cross multiply
    173,834.20x = 260,751.30 × 134,468.20
  4. Step 4: Simplify right side
    173,834.20x = 35,062,757,958.66
  5. Step 5: Solve for x
    x = 35,062,757,958.66/173,834.20
  6. Step 6: Final answer
    x = 201,702.30

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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.