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Finding the Fourth Proportional to 277,680.53, 416,434.53 and 100,164.47

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Solution

The fourth proportional to 277,680.53, 416,434.53 and 100,164.47 is: 150,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,680.53 : 416,434.53 = 100,164.47 : x
  2. Step 2: Convert to fraction form
    277,680.53/416,434.53 = 100,164.47/x
  3. Step 3: Cross multiply
    277,680.53x = 416,434.53 × 100,164.47
  4. Step 4: Simplify right side
    277,680.53x = 41,711,943,987.15
  5. Step 5: Solve for x
    x = 41,711,943,987.15/277,680.53
  6. Step 6: Final answer
    x = 150,215.59

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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.