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Finding the Fourth Proportional to 277,927.20, 416,793.60 and 144,763.20

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Solution

The fourth proportional to 277,927.20, 416,793.60 and 144,763.20 is: 217,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,927.20 : 416,793.60 = 144,763.20 : x
  2. Step 2: Convert to fraction form
    277,927.20/416,793.60 = 144,763.20/x
  3. Step 3: Cross multiply
    277,927.20x = 416,793.60 × 144,763.20
  4. Step 4: Simplify right side
    277,927.20x = 60,336,375,275.52
  5. Step 5: Solve for x
    x = 60,336,375,275.52/277,927.20
  6. Step 6: Final answer
    x = 217,094.17

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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.