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Finding the Fourth Proportional to 130,418.08, 195,634.80 and 36,916

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Solution

The fourth proportional to 130,418.08, 195,634.80 and 36,916 is: 55,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,418.08 : 195,634.80 = 36,916 : x
  2. Step 2: Convert to fraction form
    130,418.08/195,634.80 = 36,916/x
  3. Step 3: Cross multiply
    130,418.08x = 195,634.80 × 36,916
  4. Step 4: Simplify right side
    130,418.08x = 7,222,054,276.80
  5. Step 5: Solve for x
    x = 7,222,054,276.80/130,418.08
  6. Step 6: Final answer
    x = 55,376.17

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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.