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Finding the Fourth Proportional to 173,785.20, 260,677.80 and 102,634.80

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Solution

The fourth proportional to 173,785.20, 260,677.80 and 102,634.80 is: 153,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,785.20 : 260,677.80 = 102,634.80 : x
  2. Step 2: Convert to fraction form
    173,785.20/260,677.80 = 102,634.80/x
  3. Step 3: Cross multiply
    173,785.20x = 260,677.80 × 102,634.80
  4. Step 4: Simplify right side
    173,785.20x = 26,754,613,867.44
  5. Step 5: Solve for x
    x = 26,754,613,867.44/173,785.20
  6. Step 6: Final answer
    x = 153,952.20

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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.