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Finding the Fourth Proportional to 135,085.68, 202,623.66 and 41,589

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Solution

The fourth proportional to 135,085.68, 202,623.66 and 41,589 is: 62,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,085.68 : 202,623.66 = 41,589 : x
  2. Step 2: Convert to fraction form
    135,085.68/202,623.66 = 41,589/x
  3. Step 3: Cross multiply
    135,085.68x = 202,623.66 × 41,589
  4. Step 4: Simplify right side
    135,085.68x = 8,426,915,395.74
  5. Step 5: Solve for x
    x = 8,426,915,395.74/135,085.68
  6. Step 6: Final answer
    x = 62,382.00

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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.