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Finding the Fourth Proportional to 277,134.91, 382,446.17 and 149,810.50

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Solution

The fourth proportional to 277,134.91, 382,446.17 and 149,810.50 is: 206,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,134.91 : 382,446.17 = 149,810.50 : x
  2. Step 2: Convert to fraction form
    277,134.91/382,446.17 = 149,810.50/x
  3. Step 3: Cross multiply
    277,134.91x = 382,446.17 × 149,810.50
  4. Step 4: Simplify right side
    277,134.91x = 57,294,451,950.79
  5. Step 5: Solve for x
    x = 57,294,451,950.79/277,134.91
  6. Step 6: Final answer
    x = 206,738.49

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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.