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Finding the Fourth Proportional to 202,422, 303,633 and 62,180.64

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Solution

The fourth proportional to 202,422, 303,633 and 62,180.64 is: 93,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,422 : 303,633 = 62,180.64 : x
  2. Step 2: Convert to fraction form
    202,422/303,633 = 62,180.64/x
  3. Step 3: Cross multiply
    202,422x = 303,633 × 62,180.64
  4. Step 4: Simplify right side
    202,422x = 18,880,094,265.12
  5. Step 5: Solve for x
    x = 18,880,094,265.12/202,422
  6. Step 6: Final answer
    x = 93,270.96

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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.