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Finding the Fourth Proportional to 202,004.90, 303,007.35 and 96,769.70

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Solution

The fourth proportional to 202,004.90, 303,007.35 and 96,769.70 is: 145,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,004.90 : 303,007.35 = 96,769.70 : x
  2. Step 2: Convert to fraction form
    202,004.90/303,007.35 = 96,769.70/x
  3. Step 3: Cross multiply
    202,004.90x = 303,007.35 × 96,769.70
  4. Step 4: Simplify right side
    202,004.90x = 29,321,930,357.30
  5. Step 5: Solve for x
    x = 29,321,930,357.30/202,004.90
  6. Step 6: Final answer
    x = 145,154.55

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1.5x scale

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.