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Finding the Fourth Proportional to 78,084.50, 117,126.34 and 18,920.18

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Solution

The fourth proportional to 78,084.50, 117,126.34 and 18,920.18 is: 28,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084.50 : 117,126.34 = 18,920.18 : x
  2. Step 2: Convert to fraction form
    78,084.50/117,126.34 = 18,920.18/x
  3. Step 3: Cross multiply
    78,084.50x = 117,126.34 × 18,920.18
  4. Step 4: Simplify right side
    78,084.50x = 2,216,051,435.54
  5. Step 5: Solve for x
    x = 2,216,051,435.54/78,084.50
  6. Step 6: Final answer
    x = 28,380.17

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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.