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Finding the Fourth Proportional to 277,260.52, 382,717.56 and 164,083

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Solution

The fourth proportional to 277,260.52, 382,717.56 and 164,083 is: 226,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,260.52 : 382,717.56 = 164,083 : x
  2. Step 2: Convert to fraction form
    277,260.52/382,717.56 = 164,083/x
  3. Step 3: Cross multiply
    277,260.52x = 382,717.56 × 164,083
  4. Step 4: Simplify right side
    277,260.52x = 62,797,445,397.48
  5. Step 5: Solve for x
    x = 62,797,445,397.48/277,260.52
  6. Step 6: Final answer
    x = 226,492.56

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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.