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Finding the Fourth Proportional to 200,753.16, 277,062.51 and 120,180.66

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Solution

The fourth proportional to 200,753.16, 277,062.51 and 120,180.66 is: 165,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,753.16 : 277,062.51 = 120,180.66 : x
  2. Step 2: Convert to fraction form
    200,753.16/277,062.51 = 120,180.66/x
  3. Step 3: Cross multiply
    200,753.16x = 277,062.51 × 120,180.66
  4. Step 4: Simplify right side
    200,753.16x = 33,297,554,712.15
  5. Step 5: Solve for x
    x = 33,297,554,712.15/200,753.16
  6. Step 6: Final answer
    x = 165,863.17

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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.