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Finding the Fourth Proportional to 202,142.63, 303,084.31 and 83,895.59

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Solution

The fourth proportional to 202,142.63, 303,084.31 and 83,895.59 is: 125,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.63 : 303,084.31 = 83,895.59 : x
  2. Step 2: Convert to fraction form
    202,142.63/303,084.31 = 83,895.59/x
  3. Step 3: Cross multiply
    202,142.63x = 303,084.31 × 83,895.59
  4. Step 4: Simplify right side
    202,142.63x = 25,427,435,282.03
  5. Step 5: Solve for x
    x = 25,427,435,282.03/202,142.63
  6. Step 6: Final answer
    x = 125,789.58

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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.