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Finding the Fourth Proportional to 202,327.40, 303,491.10 and 97,092.20

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Solution

The fourth proportional to 202,327.40, 303,491.10 and 97,092.20 is: 145,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,327.40 : 303,491.10 = 97,092.20 : x
  2. Step 2: Convert to fraction form
    202,327.40/303,491.10 = 97,092.20/x
  3. Step 3: Cross multiply
    202,327.40x = 303,491.10 × 97,092.20
  4. Step 4: Simplify right side
    202,327.40x = 29,466,618,579.42
  5. Step 5: Solve for x
    x = 29,466,618,579.42/202,327.40
  6. Step 6: Final answer
    x = 145,638.30

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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.