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Finding the Fourth Proportional to 187,780, 259,136.40 and 108,292

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Solution

The fourth proportional to 187,780, 259,136.40 and 108,292 is: 149,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,780 : 259,136.40 = 108,292 : x
  2. Step 2: Convert to fraction form
    187,780/259,136.40 = 108,292/x
  3. Step 3: Cross multiply
    187,780x = 259,136.40 × 108,292
  4. Step 4: Simplify right side
    187,780x = 28,062,399,028.80
  5. Step 5: Solve for x
    x = 28,062,399,028.80/187,780
  6. Step 6: Final answer
    x = 149,442.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.