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Finding the Fourth Proportional to 171,830.85, 257,934.84 and 136,519.16

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Solution

The fourth proportional to 171,830.85, 257,934.84 and 136,519.16 is: 204,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830.85 : 257,934.84 = 136,519.16 : x
  2. Step 2: Convert to fraction form
    171,830.85/257,934.84 = 136,519.16/x
  3. Step 3: Cross multiply
    171,830.85x = 257,934.84 × 136,519.16
  4. Step 4: Simplify right side
    171,830.85x = 35,213,046,401.86
  5. Step 5: Solve for x
    x = 35,213,046,401.86/171,830.85
  6. Step 6: Final answer
    x = 204,928.55

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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.