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Finding the Fourth Proportional to 187,732.80, 259,077.78 and 102,849.93

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Solution

The fourth proportional to 187,732.80, 259,077.78 and 102,849.93 is: 141,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,732.80 : 259,077.78 = 102,849.93 : x
  2. Step 2: Convert to fraction form
    187,732.80/259,077.78 = 102,849.93/x
  3. Step 3: Cross multiply
    187,732.80x = 259,077.78 × 102,849.93
  4. Step 4: Simplify right side
    187,732.80x = 26,646,131,537.56
  5. Step 5: Solve for x
    x = 26,646,131,537.56/187,732.80
  6. Step 6: Final answer
    x = 141,936.47

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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.