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Finding the Fourth Proportional to 230,414.40, 345,670.20 and 97,226.10

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Solution

The fourth proportional to 230,414.40, 345,670.20 and 97,226.10 is: 145,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,414.40 : 345,670.20 = 97,226.10 : x
  2. Step 2: Convert to fraction form
    230,414.40/345,670.20 = 97,226.10/x
  3. Step 3: Cross multiply
    230,414.40x = 345,670.20 × 97,226.10
  4. Step 4: Simplify right side
    230,414.40x = 33,608,165,432.22
  5. Step 5: Solve for x
    x = 33,608,165,432.22/230,414.40
  6. Step 6: Final answer
    x = 145,859.66

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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.