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Finding the Fourth Proportional to 277,769.01, 416,673.14 and 137,489.97

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Solution

The fourth proportional to 277,769.01, 416,673.14 and 137,489.97 is: 206,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,769.01 : 416,673.14 = 137,489.97 : x
  2. Step 2: Convert to fraction form
    277,769.01/416,673.14 = 137,489.97/x
  3. Step 3: Cross multiply
    277,769.01x = 416,673.14 × 137,489.97
  4. Step 4: Simplify right side
    277,769.01x = 57,288,376,830.96
  5. Step 5: Solve for x
    x = 57,288,376,830.96/277,769.01
  6. Step 6: Final answer
    x = 206,244.67

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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.