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Finding the Fourth Proportional to 174,934.60, 262,401.90 and 75,077.80

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Solution

The fourth proportional to 174,934.60, 262,401.90 and 75,077.80 is: 112,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,934.60 : 262,401.90 = 75,077.80 : x
  2. Step 2: Convert to fraction form
    174,934.60/262,401.90 = 75,077.80/x
  3. Step 3: Cross multiply
    174,934.60x = 262,401.90 × 75,077.80
  4. Step 4: Simplify right side
    174,934.60x = 19,700,557,367.82
  5. Step 5: Solve for x
    x = 19,700,557,367.82/174,934.60
  6. Step 6: Final answer
    x = 112,616.70

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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.