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Finding the Fourth Proportional to 205,138.86, 283,226.67 and 132,574.20

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Solution

The fourth proportional to 205,138.86, 283,226.67 and 132,574.20 is: 183,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,138.86 : 283,226.67 = 132,574.20 : x
  2. Step 2: Convert to fraction form
    205,138.86/283,226.67 = 132,574.20/x
  3. Step 3: Cross multiply
    205,138.86x = 283,226.67 × 132,574.20
  4. Step 4: Simplify right side
    205,138.86x = 37,548,549,193.91
  5. Step 5: Solve for x
    x = 37,548,549,193.91/205,138.86
  6. Step 6: Final answer
    x = 183,039.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.