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Finding the Fourth Proportional to 135,298.46, 202,967.13 and 41,811.50

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Solution

The fourth proportional to 135,298.46, 202,967.13 and 41,811.50 is: 62,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,298.46 : 202,967.13 = 41,811.50 : x
  2. Step 2: Convert to fraction form
    135,298.46/202,967.13 = 41,811.50/x
  3. Step 3: Cross multiply
    135,298.46x = 202,967.13 × 41,811.50
  4. Step 4: Simplify right side
    135,298.46x = 8,486,360,156.00
  5. Step 5: Solve for x
    x = 8,486,360,156.00/135,298.46
  6. Step 6: Final answer
    x = 62,723.26

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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.