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Finding the Fourth Proportional to 277,068.72, 382,354.24 and 149,744

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Solution

The fourth proportional to 277,068.72, 382,354.24 and 149,744 is: 206,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,068.72 : 382,354.24 = 149,744 : x
  2. Step 2: Convert to fraction form
    277,068.72/382,354.24 = 149,744/x
  3. Step 3: Cross multiply
    277,068.72x = 382,354.24 × 149,744
  4. Step 4: Simplify right side
    277,068.72x = 57,255,253,314.56
  5. Step 5: Solve for x
    x = 57,255,253,314.56/277,068.72
  6. Step 6: Final answer
    x = 206,646.40

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