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Finding the Fourth Proportional to 202,109.16, 303,164.73 and 52,338.90

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Solution

The fourth proportional to 202,109.16, 303,164.73 and 52,338.90 is: 78,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,109.16 : 303,164.73 = 52,338.90 : x
  2. Step 2: Convert to fraction form
    202,109.16/303,164.73 = 52,338.90/x
  3. Step 3: Cross multiply
    202,109.16x = 303,164.73 × 52,338.90
  4. Step 4: Simplify right side
    202,109.16x = 15,867,308,487.00
  5. Step 5: Solve for x
    x = 15,867,308,487.00/202,109.16
  6. Step 6: Final answer
    x = 78,508.61

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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.