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Finding the Fourth Proportional to 173,209.80, 259,814.70 and 138,217.80

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Solution

The fourth proportional to 173,209.80, 259,814.70 and 138,217.80 is: 207,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,209.80 : 259,814.70 = 138,217.80 : x
  2. Step 2: Convert to fraction form
    173,209.80/259,814.70 = 138,217.80/x
  3. Step 3: Cross multiply
    173,209.80x = 259,814.70 × 138,217.80
  4. Step 4: Simplify right side
    173,209.80x = 35,911,016,241.66
  5. Step 5: Solve for x
    x = 35,911,016,241.66/173,209.80
  6. Step 6: Final answer
    x = 207,326.70

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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.