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Finding the Fourth Proportional to 202,820.64, 303,902.64 and 123,695.52

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Solution

The fourth proportional to 202,820.64, 303,902.64 and 123,695.52 is: 185,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,820.64 : 303,902.64 = 123,695.52 : x
  2. Step 2: Convert to fraction form
    202,820.64/303,902.64 = 123,695.52/x
  3. Step 3: Cross multiply
    202,820.64x = 303,902.64 × 123,695.52
  4. Step 4: Simplify right side
    202,820.64x = 37,591,395,084.17
  5. Step 5: Solve for x
    x = 37,591,395,084.17/202,820.64
  6. Step 6: Final answer
    x = 185,343.05

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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.