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Finding the Fourth Proportional to 187,165.05, 258,287.89 and 102,282.12

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Solution

The fourth proportional to 187,165.05, 258,287.89 and 102,282.12 is: 141,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,165.05 : 258,287.89 = 102,282.12 : x
  2. Step 2: Convert to fraction form
    187,165.05/258,287.89 = 102,282.12/x
  3. Step 3: Cross multiply
    187,165.05x = 258,287.89 × 102,282.12
  4. Step 4: Simplify right side
    187,165.05x = 26,418,232,169.17
  5. Step 5: Solve for x
    x = 26,418,232,169.17/187,165.05
  6. Step 6: Final answer
    x = 141,149.38

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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.