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Finding the Fourth Proportional to 277,721.82, 416,598.28 and 78,026.63

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Solution

The fourth proportional to 277,721.82, 416,598.28 and 78,026.63 is: 117,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,721.82 : 416,598.28 = 78,026.63 : x
  2. Step 2: Convert to fraction form
    277,721.82/416,598.28 = 78,026.63/x
  3. Step 3: Cross multiply
    277,721.82x = 416,598.28 × 78,026.63
  4. Step 4: Simplify right side
    277,721.82x = 32,505,757,793.59
  5. Step 5: Solve for x
    x = 32,505,757,793.59/277,721.82
  6. Step 6: Final answer
    x = 117,044.31

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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.