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Finding the Fourth Proportional to 202,435.76, 303,489.54 and 84,195.62

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Solution

The fourth proportional to 202,435.76, 303,489.54 and 84,195.62 is: 126,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,435.76 : 303,489.54 = 84,195.62 : x
  2. Step 2: Convert to fraction form
    202,435.76/303,489.54 = 84,195.62/x
  3. Step 3: Cross multiply
    202,435.76x = 303,489.54 × 84,195.62
  4. Step 4: Simplify right side
    202,435.76x = 25,552,489,983.81
  5. Step 5: Solve for x
    x = 25,552,489,983.81/202,435.76
  6. Step 6: Final answer
    x = 126,225.18

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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.