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Finding the Fourth Proportional to 277,151.88, 382,470.57 and 149,827.50

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Solution

The fourth proportional to 277,151.88, 382,470.57 and 149,827.50 is: 206,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,151.88 : 382,470.57 = 149,827.50 : x
  2. Step 2: Convert to fraction form
    277,151.88/382,470.57 = 149,827.50/x
  3. Step 3: Cross multiply
    277,151.88x = 382,470.57 × 149,827.50
  4. Step 4: Simplify right side
    277,151.88x = 57,304,609,326.68
  5. Step 5: Solve for x
    x = 57,304,609,326.68/277,151.88
  6. Step 6: Final answer
    x = 206,762.48

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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.