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Finding the Fourth Proportional to 230,332.50, 345,546.54 and 97,213.86

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Solution

The fourth proportional to 230,332.50, 345,546.54 and 97,213.86 is: 145,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,332.50 : 345,546.54 = 97,213.86 : x
  2. Step 2: Convert to fraction form
    230,332.50/345,546.54 = 97,213.86/x
  3. Step 3: Cross multiply
    230,332.50x = 345,546.54 × 97,213.86
  4. Step 4: Simplify right side
    230,332.50x = 33,591,912,963.04
  5. Step 5: Solve for x
    x = 33,591,912,963.04/230,332.50
  6. Step 6: Final answer
    x = 145,840.96

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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.