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Finding the Fourth Proportional to 202,231.40, 303,347.10 and 97,255.40

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Solution

The fourth proportional to 202,231.40, 303,347.10 and 97,255.40 is: 145,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,231.40 : 303,347.10 = 97,255.40 : x
  2. Step 2: Convert to fraction form
    202,231.40/303,347.10 = 97,255.40/x
  3. Step 3: Cross multiply
    202,231.40x = 303,347.10 × 97,255.40
  4. Step 4: Simplify right side
    202,231.40x = 29,502,143,549.34
  5. Step 5: Solve for x
    x = 29,502,143,549.34/202,231.40
  6. Step 6: Final answer
    x = 145,883.10

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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.