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Finding the Fourth Proportional to 142,990.88, 214,522.32 and 83,876

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Solution

The fourth proportional to 142,990.88, 214,522.32 and 83,876 is: 125,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,990.88 : 214,522.32 = 83,876 : x
  2. Step 2: Convert to fraction form
    142,990.88/214,522.32 = 83,876/x
  3. Step 3: Cross multiply
    142,990.88x = 214,522.32 × 83,876
  4. Step 4: Simplify right side
    142,990.88x = 17,993,274,112.32
  5. Step 5: Solve for x
    x = 17,993,274,112.32/142,990.88
  6. Step 6: Final answer
    x = 125,835.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.