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Finding the Fourth Proportional to 202,294.60, 303,514.80 and 84,050.80

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Solution

The fourth proportional to 202,294.60, 303,514.80 and 84,050.80 is: 126,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.60 : 303,514.80 = 84,050.80 : x
  2. Step 2: Convert to fraction form
    202,294.60/303,514.80 = 84,050.80/x
  3. Step 3: Cross multiply
    202,294.60x = 303,514.80 × 84,050.80
  4. Step 4: Simplify right side
    202,294.60x = 25,510,661,751.84
  5. Step 5: Solve for x
    x = 25,510,661,751.84/202,294.60
  6. Step 6: Final answer
    x = 126,106.49

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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.