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Finding the Fourth Proportional to 230,597.80, 345,704.70 and 97,580.20

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Solution

The fourth proportional to 230,597.80, 345,704.70 and 97,580.20 is: 146,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,597.80 : 345,704.70 = 97,580.20 : x
  2. Step 2: Convert to fraction form
    230,597.80/345,704.70 = 97,580.20/x
  3. Step 3: Cross multiply
    230,597.80x = 345,704.70 × 97,580.20
  4. Step 4: Simplify right side
    230,597.80x = 33,733,933,766.94
  5. Step 5: Solve for x
    x = 33,733,933,766.94/230,597.80
  6. Step 6: Final answer
    x = 146,289.05

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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.