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Finding the Fourth Proportional to 202,342.30, 303,697.05 and 102,571.90

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Solution

The fourth proportional to 202,342.30, 303,697.05 and 102,571.90 is: 153,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,342.30 : 303,697.05 = 102,571.90 : x
  2. Step 2: Convert to fraction form
    202,342.30/303,697.05 = 102,571.90/x
  3. Step 3: Cross multiply
    202,342.30x = 303,697.05 × 102,571.90
  4. Step 4: Simplify right side
    202,342.30x = 31,150,783,442.90
  5. Step 5: Solve for x
    x = 31,150,783,442.90/202,342.30
  6. Step 6: Final answer
    x = 153,950.92

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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.