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Finding the Fourth Proportional to 277,758.54, 416,657.43 and 137,479.50

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Solution

The fourth proportional to 277,758.54, 416,657.43 and 137,479.50 is: 206,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,758.54 : 416,657.43 = 137,479.50 : x
  2. Step 2: Convert to fraction form
    277,758.54/416,657.43 = 137,479.50/x
  3. Step 3: Cross multiply
    277,758.54x = 416,657.43 × 137,479.50
  4. Step 4: Simplify right side
    277,758.54x = 57,281,855,147.69
  5. Step 5: Solve for x
    x = 57,281,855,147.69/277,758.54
  6. Step 6: Final answer
    x = 206,228.96

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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.