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Finding the Fourth Proportional to 135,297.46, 202,965.63 and 41,810.50

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Solution

The fourth proportional to 135,297.46, 202,965.63 and 41,810.50 is: 62,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,297.46 : 202,965.63 = 41,810.50 : x
  2. Step 2: Convert to fraction form
    135,297.46/202,965.63 = 41,810.50/x
  3. Step 3: Cross multiply
    135,297.46x = 202,965.63 × 41,810.50
  4. Step 4: Simplify right side
    135,297.46x = 8,486,094,473.12
  5. Step 5: Solve for x
    x = 8,486,094,473.12/135,297.46
  6. Step 6: Final answer
    x = 62,721.76

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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.