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Finding the Fourth Proportional to 230,517.33, 345,692.81 and 97,407.87

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Solution

The fourth proportional to 230,517.33, 345,692.81 and 97,407.87 is: 146,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,517.33 : 345,692.81 = 97,407.87 : x
  2. Step 2: Convert to fraction form
    230,517.33/345,692.81 = 97,407.87/x
  3. Step 3: Cross multiply
    230,517.33x = 345,692.81 × 97,407.87
  4. Step 4: Simplify right side
    230,517.33x = 33,673,200,539.93
  5. Step 5: Solve for x
    x = 33,673,200,539.93/230,517.33
  6. Step 6: Final answer
    x = 146,076.66

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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.