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Finding the Fourth Proportional to 277,146.57, 382,462.49 and 149,822.13

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Solution

The fourth proportional to 277,146.57, 382,462.49 and 149,822.13 is: 206,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,146.57 : 382,462.49 = 149,822.13 : x
  2. Step 2: Convert to fraction form
    277,146.57/382,462.49 = 149,822.13/x
  3. Step 3: Cross multiply
    277,146.57x = 382,462.49 × 149,822.13
  4. Step 4: Simplify right side
    277,146.57x = 57,301,344,147.79
  5. Step 5: Solve for x
    x = 57,301,344,147.79/277,146.57
  6. Step 6: Final answer
    x = 206,754.66

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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.