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Finding the Fourth Proportional to 202,584, 303,105 and 122,326.56

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Solution

The fourth proportional to 202,584, 303,105 and 122,326.56 is: 183,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,584 : 303,105 = 122,326.56 : x
  2. Step 2: Convert to fraction form
    202,584/303,105 = 122,326.56/x
  3. Step 3: Cross multiply
    202,584x = 303,105 × 122,326.56
  4. Step 4: Simplify right side
    202,584x = 37,077,791,968.80
  5. Step 5: Solve for x
    x = 37,077,791,968.80/202,584
  6. Step 6: Final answer
    x = 183,024.29

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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.