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Finding the Fourth Proportional to 205,176.71, 307,764.77 and 114,050.05

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Solution

The fourth proportional to 205,176.71, 307,764.77 and 114,050.05 is: 171,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,176.71 : 307,764.77 = 114,050.05 : x
  2. Step 2: Convert to fraction form
    205,176.71/307,764.77 = 114,050.05/x
  3. Step 3: Cross multiply
    205,176.71x = 307,764.77 × 114,050.05
  4. Step 4: Simplify right side
    205,176.71x = 35,100,586,067.08
  5. Step 5: Solve for x
    x = 35,100,586,067.08/205,176.71
  6. Step 6: Final answer
    x = 171,074.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.