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Finding the Fourth Proportional to 277,688.16, 416,198.36 and 127,721.80

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Solution

The fourth proportional to 277,688.16, 416,198.36 and 127,721.80 is: 191,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,688.16 : 416,198.36 = 127,721.80 : x
  2. Step 2: Convert to fraction form
    277,688.16/416,198.36 = 127,721.80/x
  3. Step 3: Cross multiply
    277,688.16x = 416,198.36 × 127,721.80
  4. Step 4: Simplify right side
    277,688.16x = 53,157,603,696.25
  5. Step 5: Solve for x
    x = 53,157,603,696.25/277,688.16
  6. Step 6: Final answer
    x = 191,429.13

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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.