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Finding the Fourth Proportional to 277,523.20, 416,161.68 and 127,727.20

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Solution

The fourth proportional to 277,523.20, 416,161.68 and 127,727.20 is: 191,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,523.20 : 416,161.68 = 127,727.20 : x
  2. Step 2: Convert to fraction form
    277,523.20/416,161.68 = 127,727.20/x
  3. Step 3: Cross multiply
    277,523.20x = 416,161.68 × 127,727.20
  4. Step 4: Simplify right side
    277,523.20x = 53,155,166,133.70
  5. Step 5: Solve for x
    x = 53,155,166,133.70/277,523.20
  6. Step 6: Final answer
    x = 191,534.14

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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.