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Finding the Fourth Proportional to 277,241.66, 382,593.90 and 149,917.26

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Solution

The fourth proportional to 277,241.66, 382,593.90 and 149,917.26 is: 206,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,241.66 : 382,593.90 = 149,917.26 : x
  2. Step 2: Convert to fraction form
    277,241.66/382,593.90 = 149,917.26/x
  3. Step 3: Cross multiply
    277,241.66x = 382,593.90 × 149,917.26
  4. Step 4: Simplify right side
    277,241.66x = 57,357,429,180.71
  5. Step 5: Solve for x
    x = 57,357,429,180.71/277,241.66
  6. Step 6: Final answer
    x = 206,886.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.