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Finding the Fourth Proportional to 277,096.48, 415,515.54 and 143,941

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Solution

The fourth proportional to 277,096.48, 415,515.54 and 143,941 is: 215,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,096.48 : 415,515.54 = 143,941 : x
  2. Step 2: Convert to fraction form
    277,096.48/415,515.54 = 143,941/x
  3. Step 3: Cross multiply
    277,096.48x = 415,515.54 × 143,941
  4. Step 4: Simplify right side
    277,096.48x = 59,809,722,343.14
  5. Step 5: Solve for x
    x = 59,809,722,343.14/277,096.48
  6. Step 6: Final answer
    x = 215,844.40

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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.