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Finding the Fourth Proportional to 234,436.80, 323,201.44 and 148,352.96

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Solution

The fourth proportional to 234,436.80, 323,201.44 and 148,352.96 is: 204,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,436.80 : 323,201.44 = 148,352.96 : x
  2. Step 2: Convert to fraction form
    234,436.80/323,201.44 = 148,352.96/x
  3. Step 3: Cross multiply
    234,436.80x = 323,201.44 × 148,352.96
  4. Step 4: Simplify right side
    234,436.80x = 47,947,890,300.26
  5. Step 5: Solve for x
    x = 47,947,890,300.26/234,436.80
  6. Step 6: Final answer
    x = 204,523.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.