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Finding the Fourth Proportional to 202,434.70, 303,652.05 and 97,228.30

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Solution

The fourth proportional to 202,434.70, 303,652.05 and 97,228.30 is: 145,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,434.70 : 303,652.05 = 97,228.30 : x
  2. Step 2: Convert to fraction form
    202,434.70/303,652.05 = 97,228.30/x
  3. Step 3: Cross multiply
    202,434.70x = 303,652.05 × 97,228.30
  4. Step 4: Simplify right side
    202,434.70x = 29,523,572,613.02
  5. Step 5: Solve for x
    x = 29,523,572,613.02/202,434.70
  6. Step 6: Final answer
    x = 145,842.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.