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Finding the Fourth Proportional to 202,164.70, 303,319.95 and 83,872.30

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Solution

The fourth proportional to 202,164.70, 303,319.95 and 83,872.30 is: 125,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164.70 : 303,319.95 = 83,872.30 : x
  2. Step 2: Convert to fraction form
    202,164.70/303,319.95 = 83,872.30/x
  3. Step 3: Cross multiply
    202,164.70x = 303,319.95 × 83,872.30
  4. Step 4: Simplify right side
    202,164.70x = 25,440,141,842.39
  5. Step 5: Solve for x
    x = 25,440,141,842.39/202,164.70
  6. Step 6: Final answer
    x = 125,838.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.