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Finding the Fourth Proportional to 202,542.20, 303,813.30 and 97,566.20

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Solution

The fourth proportional to 202,542.20, 303,813.30 and 97,566.20 is: 146,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,542.20 : 303,813.30 = 97,566.20 : x
  2. Step 2: Convert to fraction form
    202,542.20/303,813.30 = 97,566.20/x
  3. Step 3: Cross multiply
    202,542.20x = 303,813.30 × 97,566.20
  4. Step 4: Simplify right side
    202,542.20x = 29,641,909,190.46
  5. Step 5: Solve for x
    x = 29,641,909,190.46/202,542.20
  6. Step 6: Final answer
    x = 146,349.30

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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.