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Finding the Fourth Proportional to 135,280.32, 202,862.16 and 52,116

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Solution

The fourth proportional to 135,280.32, 202,862.16 and 52,116 is: 78,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,280.32 : 202,862.16 = 52,116 : x
  2. Step 2: Convert to fraction form
    135,280.32/202,862.16 = 52,116/x
  3. Step 3: Cross multiply
    135,280.32x = 202,862.16 × 52,116
  4. Step 4: Simplify right side
    135,280.32x = 10,572,364,330.56
  5. Step 5: Solve for x
    x = 10,572,364,330.56/135,280.32
  6. Step 6: Final answer
    x = 78,151.53

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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.