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Finding the Fourth Proportional to 135,314.89, 186,754.31 and 77,943.06

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Solution

The fourth proportional to 135,314.89, 186,754.31 and 77,943.06 is: 107,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,314.89 : 186,754.31 = 77,943.06 : x
  2. Step 2: Convert to fraction form
    135,314.89/186,754.31 = 77,943.06/x
  3. Step 3: Cross multiply
    135,314.89x = 186,754.31 × 77,943.06
  4. Step 4: Simplify right side
    135,314.89x = 14,556,202,292.16
  5. Step 5: Solve for x
    x = 14,556,202,292.16/135,314.89
  6. Step 6: Final answer
    x = 107,572.81

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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.