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Finding the Fourth Proportional to 277,200.43, 382,537.17 and 149,876.02

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Solution

The fourth proportional to 277,200.43, 382,537.17 and 149,876.02 is: 206,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,200.43 : 382,537.17 = 149,876.02 : x
  2. Step 2: Convert to fraction form
    277,200.43/382,537.17 = 149,876.02/x
  3. Step 3: Cross multiply
    277,200.43x = 382,537.17 × 149,876.02
  4. Step 4: Simplify right side
    277,200.43x = 57,333,148,541.66
  5. Step 5: Solve for x
    x = 57,333,148,541.66/277,200.43
  6. Step 6: Final answer
    x = 206,829.22

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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.