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Finding the Fourth Proportional to 221,187.38, 305,151.93 and 136,156.82

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Solution

The fourth proportional to 221,187.38, 305,151.93 and 136,156.82 is: 187,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,187.38 : 305,151.93 = 136,156.82 : x
  2. Step 2: Convert to fraction form
    221,187.38/305,151.93 = 136,156.82/x
  3. Step 3: Cross multiply
    221,187.38x = 305,151.93 × 136,156.82
  4. Step 4: Simplify right side
    221,187.38x = 41,548,514,879.90
  5. Step 5: Solve for x
    x = 41,548,514,879.90/221,187.38
  6. Step 6: Final answer
    x = 187,843.07

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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.