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Finding the Fourth Proportional to 277,721.48, 416,247.19 and 127,756.06

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Solution

The fourth proportional to 277,721.48, 416,247.19 and 127,756.06 is: 191,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,721.48 : 416,247.19 = 127,756.06 : x
  2. Step 2: Convert to fraction form
    277,721.48/416,247.19 = 127,756.06/x
  3. Step 3: Cross multiply
    277,721.48x = 416,247.19 × 127,756.06
  4. Step 4: Simplify right side
    277,721.48x = 53,178,099,620.46
  5. Step 5: Solve for x
    x = 53,178,099,620.46/277,721.48
  6. Step 6: Final answer
    x = 191,479.96

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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.