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Finding the Fourth Proportional to 200,755.01, 277,065.05 and 120,182.51

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Solution

The fourth proportional to 200,755.01, 277,065.05 and 120,182.51 is: 165,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.01 : 277,065.05 = 120,182.51 : x
  2. Step 2: Convert to fraction form
    200,755.01/277,065.05 = 120,182.51/x
  3. Step 3: Cross multiply
    200,755.01x = 277,065.05 × 120,182.51
  4. Step 4: Simplify right side
    200,755.01x = 33,298,371,156.04
  5. Step 5: Solve for x
    x = 33,298,371,156.04/200,755.01
  6. Step 6: Final answer
    x = 165,865.71

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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.