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Finding the Fourth Proportional to 177,378.40, 266,067.60 and 173,879.20

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Solution

The fourth proportional to 177,378.40, 266,067.60 and 173,879.20 is: 260,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,378.40 : 266,067.60 = 173,879.20 : x
  2. Step 2: Convert to fraction form
    177,378.40/266,067.60 = 173,879.20/x
  3. Step 3: Cross multiply
    177,378.40x = 266,067.60 × 173,879.20
  4. Step 4: Simplify right side
    177,378.40x = 46,263,621,433.92
  5. Step 5: Solve for x
    x = 46,263,621,433.92/177,378.40
  6. Step 6: Final answer
    x = 260,818.80

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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.