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Finding the Fourth Proportional to 277,251.70, 415,877.58 and 108,851.44

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Solution

The fourth proportional to 277,251.70, 415,877.58 and 108,851.44 is: 163,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,251.70 : 415,877.58 = 108,851.44 : x
  2. Step 2: Convert to fraction form
    277,251.70/415,877.58 = 108,851.44/x
  3. Step 3: Cross multiply
    277,251.70x = 415,877.58 × 108,851.44
  4. Step 4: Simplify right side
    277,251.70x = 45,268,873,446.72
  5. Step 5: Solve for x
    x = 45,268,873,446.72/277,251.70
  6. Step 6: Final answer
    x = 163,277.17

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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.