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Finding the Fourth Proportional to 202,186.21, 303,280.53 and 89,840.02

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Solution

The fourth proportional to 202,186.21, 303,280.53 and 89,840.02 is: 134,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,186.21 : 303,280.53 = 89,840.02 : x
  2. Step 2: Convert to fraction form
    202,186.21/303,280.53 = 89,840.02/x
  3. Step 3: Cross multiply
    202,186.21x = 303,280.53 × 89,840.02
  4. Step 4: Simplify right side
    202,186.21x = 27,246,728,880.81
  5. Step 5: Solve for x
    x = 27,246,728,880.81/202,186.21
  6. Step 6: Final answer
    x = 134,760.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.