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Finding the Fourth Proportional to 187,825.08, 259,186.86 and 102,936.12

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Solution

The fourth proportional to 187,825.08, 259,186.86 and 102,936.12 is: 142,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,825.08 : 259,186.86 = 102,936.12 : x
  2. Step 2: Convert to fraction form
    187,825.08/259,186.86 = 102,936.12/x
  3. Step 3: Cross multiply
    187,825.08x = 259,186.86 × 102,936.12
  4. Step 4: Simplify right side
    187,825.08x = 26,679,689,723.38
  5. Step 5: Solve for x
    x = 26,679,689,723.38/187,825.08
  6. Step 6: Final answer
    x = 142,045.41

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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.