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Finding the Fourth Proportional to 135,415.90, 186,857.85 and 83,724.94

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Solution

The fourth proportional to 135,415.90, 186,857.85 and 83,724.94 is: 115,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,415.90 : 186,857.85 = 83,724.94 : x
  2. Step 2: Convert to fraction form
    135,415.90/186,857.85 = 83,724.94/x
  3. Step 3: Cross multiply
    135,415.90x = 186,857.85 × 83,724.94
  4. Step 4: Simplify right side
    135,415.90x = 15,644,662,279.78
  5. Step 5: Solve for x
    x = 15,644,662,279.78/135,415.90
  6. Step 6: Final answer
    x = 115,530.47

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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.