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Finding the Fourth Proportional to 202,162.56, 303,114.08 and 83,915.52

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Solution

The fourth proportional to 202,162.56, 303,114.08 and 83,915.52 is: 125,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,162.56 : 303,114.08 = 83,915.52 : x
  2. Step 2: Convert to fraction form
    202,162.56/303,114.08 = 83,915.52/x
  3. Step 3: Cross multiply
    202,162.56x = 303,114.08 × 83,915.52
  4. Step 4: Simplify right side
    202,162.56x = 25,435,975,642.52
  5. Step 5: Solve for x
    x = 25,435,975,642.52/202,162.56
  6. Step 6: Final answer
    x = 125,819.42

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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.