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Finding the Fourth Proportional to 114,261.26, 157,682.22 and 65,836.50

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Solution

The fourth proportional to 114,261.26, 157,682.22 and 65,836.50 is: 90,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,261.26 : 157,682.22 = 65,836.50 : x
  2. Step 2: Convert to fraction form
    114,261.26/157,682.22 = 65,836.50/x
  3. Step 3: Cross multiply
    114,261.26x = 157,682.22 × 65,836.50
  4. Step 4: Simplify right side
    114,261.26x = 10,381,245,477.03
  5. Step 5: Solve for x
    x = 10,381,245,477.03/114,261.26
  6. Step 6: Final answer
    x = 90,855.34

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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.