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Finding the Fourth Proportional to 202,153.86, 303,340.41 and 83,906.28

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Solution

The fourth proportional to 202,153.86, 303,340.41 and 83,906.28 is: 125,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,153.86 : 303,340.41 = 83,906.28 : x
  2. Step 2: Convert to fraction form
    202,153.86/303,340.41 = 83,906.28/x
  3. Step 3: Cross multiply
    202,153.86x = 303,340.41 × 83,906.28
  4. Step 4: Simplify right side
    202,153.86x = 25,452,165,376.77
  5. Step 5: Solve for x
    x = 25,452,165,376.77/202,153.86
  6. Step 6: Final answer
    x = 125,904.92

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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.