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Finding the Fourth Proportional to 202,206.46, 303,316.98 and 75,833.90

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Solution

The fourth proportional to 202,206.46, 303,316.98 and 75,833.90 is: 113,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,206.46 : 303,316.98 = 75,833.90 : x
  2. Step 2: Convert to fraction form
    202,206.46/303,316.98 = 75,833.90/x
  3. Step 3: Cross multiply
    202,206.46x = 303,316.98 × 75,833.90
  4. Step 4: Simplify right side
    202,206.46x = 23,001,709,150.45
  5. Step 5: Solve for x
    x = 23,001,709,150.45/202,206.46
  6. Step 6: Final answer
    x = 113,753.58

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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.