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Finding the Fourth Proportional to 187,620, 258,915.60 and 102,740.16

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Solution

The fourth proportional to 187,620, 258,915.60 and 102,740.16 is: 141,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,620 : 258,915.60 = 102,740.16 : x
  2. Step 2: Convert to fraction form
    187,620/258,915.60 = 102,740.16/x
  3. Step 3: Cross multiply
    187,620x = 258,915.60 × 102,740.16
  4. Step 4: Simplify right side
    187,620x = 26,601,030,170.50
  5. Step 5: Solve for x
    x = 26,601,030,170.50/187,620
  6. Step 6: Final answer
    x = 141,781.42

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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.