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Finding the Fourth Proportional to 202,310.64, 303,480.51 and 77,651.64

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Solution

The fourth proportional to 202,310.64, 303,480.51 and 77,651.64 is: 116,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,310.64 : 303,480.51 = 77,651.64 : x
  2. Step 2: Convert to fraction form
    202,310.64/303,480.51 = 77,651.64/x
  3. Step 3: Cross multiply
    202,310.64x = 303,480.51 × 77,651.64
  4. Step 4: Simplify right side
    202,310.64x = 23,565,759,309.54
  5. Step 5: Solve for x
    x = 23,565,759,309.54/202,310.64
  6. Step 6: Final answer
    x = 116,483.04

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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.