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Finding the Fourth Proportional to 187,728.52, 259,065.38 and 112,277

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Solution

The fourth proportional to 187,728.52, 259,065.38 and 112,277 is: 154,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,728.52 : 259,065.38 = 112,277 : x
  2. Step 2: Convert to fraction form
    187,728.52/259,065.38 = 112,277/x
  3. Step 3: Cross multiply
    187,728.52x = 259,065.38 × 112,277
  4. Step 4: Simplify right side
    187,728.52x = 29,087,083,670.26
  5. Step 5: Solve for x
    x = 29,087,083,670.26/187,728.52
  6. Step 6: Final answer
    x = 154,942.27

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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.