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Finding the Fourth Proportional to 205,519.58, 308,251.56 and 55,769.48

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Solution

The fourth proportional to 205,519.58, 308,251.56 and 55,769.48 is: 83,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,519.58 : 308,251.56 = 55,769.48 : x
  2. Step 2: Convert to fraction form
    205,519.58/308,251.56 = 55,769.48/x
  3. Step 3: Cross multiply
    205,519.58x = 308,251.56 × 55,769.48
  4. Step 4: Simplify right side
    205,519.58x = 17,191,029,210.39
  5. Step 5: Solve for x
    x = 17,191,029,210.39/205,519.58
  6. Step 6: Final answer
    x = 83,646.67

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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.