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Finding the Fourth Proportional to 202,357.20, 303,535.80 and 97,150.80

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Solution

The fourth proportional to 202,357.20, 303,535.80 and 97,150.80 is: 145,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.20 : 303,535.80 = 97,150.80 : x
  2. Step 2: Convert to fraction form
    202,357.20/303,535.80 = 97,150.80/x
  3. Step 3: Cross multiply
    202,357.20x = 303,535.80 × 97,150.80
  4. Step 4: Simplify right side
    202,357.20x = 29,488,745,798.64
  5. Step 5: Solve for x
    x = 29,488,745,798.64/202,357.20
  6. Step 6: Final answer
    x = 145,726.20

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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.