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Finding the Fourth Proportional to 277,732.80, 416,923.20 and 144,763.20

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Solution

The fourth proportional to 277,732.80, 416,923.20 and 144,763.20 is: 217,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,732.80 : 416,923.20 = 144,763.20 : x
  2. Step 2: Convert to fraction form
    277,732.80/416,923.20 = 144,763.20/x
  3. Step 3: Cross multiply
    277,732.80x = 416,923.20 × 144,763.20
  4. Step 4: Simplify right side
    277,732.80x = 60,355,136,586.24
  5. Step 5: Solve for x
    x = 60,355,136,586.24/277,732.80
  6. Step 6: Final answer
    x = 217,313.68

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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.