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Finding the Fourth Proportional to 202,102.83, 303,102.51 and 59,914.85

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Solution

The fourth proportional to 202,102.83, 303,102.51 and 59,914.85 is: 89,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102.83 : 303,102.51 = 59,914.85 : x
  2. Step 2: Convert to fraction form
    202,102.83/303,102.51 = 59,914.85/x
  3. Step 3: Cross multiply
    202,102.83x = 303,102.51 × 59,914.85
  4. Step 4: Simplify right side
    202,102.83x = 18,160,342,179.03
  5. Step 5: Solve for x
    x = 18,160,342,179.03/202,102.83
  6. Step 6: Final answer
    x = 89,856.94

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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.