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Finding the Fourth Proportional to 202,233.90, 303,350.85 and 97,257.90

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Solution

The fourth proportional to 202,233.90, 303,350.85 and 97,257.90 is: 145,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,233.90 : 303,350.85 = 97,257.90 : x
  2. Step 2: Convert to fraction form
    202,233.90/303,350.85 = 97,257.90/x
  3. Step 3: Cross multiply
    202,233.90x = 303,350.85 × 97,257.90
  4. Step 4: Simplify right side
    202,233.90x = 29,503,266,634.22
  5. Step 5: Solve for x
    x = 29,503,266,634.22/202,233.90
  6. Step 6: Final answer
    x = 145,886.85

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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.