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Finding the Fourth Proportional to 187,196.98, 258,331.38 and 102,314.68

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Solution

The fourth proportional to 187,196.98, 258,331.38 and 102,314.68 is: 141,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,196.98 : 258,331.38 = 102,314.68 : x
  2. Step 2: Convert to fraction form
    187,196.98/258,331.38 = 102,314.68/x
  3. Step 3: Cross multiply
    187,196.98x = 258,331.38 × 102,314.68
  4. Step 4: Simplify right side
    187,196.98x = 26,431,092,478.66
  5. Step 5: Solve for x
    x = 26,431,092,478.66/187,196.98
  6. Step 6: Final answer
    x = 141,194.01

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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.