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Finding the Fourth Proportional to 277,687.16, 416,196.86 and 127,720.80

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Solution

The fourth proportional to 277,687.16, 416,196.86 and 127,720.80 is: 191,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,687.16 : 416,196.86 = 127,720.80 : x
  2. Step 2: Convert to fraction form
    277,687.16/416,196.86 = 127,720.80/x
  3. Step 3: Cross multiply
    277,687.16x = 416,196.86 × 127,720.80
  4. Step 4: Simplify right side
    277,687.16x = 53,156,995,916.69
  5. Step 5: Solve for x
    x = 53,156,995,916.69/277,687.16
  6. Step 6: Final answer
    x = 191,427.63

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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.