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Finding the Fourth Proportional to 202,436.80, 303,784.80 and 118,196.80

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Solution

The fourth proportional to 202,436.80, 303,784.80 and 118,196.80 is: 177,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436.80 : 303,784.80 = 118,196.80 : x
  2. Step 2: Convert to fraction form
    202,436.80/303,784.80 = 118,196.80/x
  3. Step 3: Cross multiply
    202,436.80x = 303,784.80 × 118,196.80
  4. Step 4: Simplify right side
    202,436.80x = 35,906,391,248.64
  5. Step 5: Solve for x
    x = 35,906,391,248.64/202,436.80
  6. Step 6: Final answer
    x = 177,370.87

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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.