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Finding the Fourth Proportional to 230,817.80, 346,572.30 and 161,006.60

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Solution

The fourth proportional to 230,817.80, 346,572.30 and 161,006.60 is: 241,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,817.80 : 346,572.30 = 161,006.60 : x
  2. Step 2: Convert to fraction form
    230,817.80/346,572.30 = 161,006.60/x
  3. Step 3: Cross multiply
    230,817.80x = 346,572.30 × 161,006.60
  4. Step 4: Simplify right side
    230,817.80x = 55,800,427,677.18
  5. Step 5: Solve for x
    x = 55,800,427,677.18/230,817.80
  6. Step 6: Final answer
    x = 241,750.97

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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.