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Finding the Fourth Proportional to 277,766.76, 416,669.76 and 137,487.72

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Solution

The fourth proportional to 277,766.76, 416,669.76 and 137,487.72 is: 206,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,766.76 : 416,669.76 = 137,487.72 : x
  2. Step 2: Convert to fraction form
    277,766.76/416,669.76 = 137,487.72/x
  3. Step 3: Cross multiply
    277,766.76x = 416,669.76 × 137,487.72
  4. Step 4: Simplify right side
    277,766.76x = 57,286,975,295.35
  5. Step 5: Solve for x
    x = 57,286,975,295.35/277,766.76
  6. Step 6: Final answer
    x = 206,241.29

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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.