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Finding the Fourth Proportional to 231,436.80, 346,982.40 and 126,374.40

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Solution

The fourth proportional to 231,436.80, 346,982.40 and 126,374.40 is: 189,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,436.80 : 346,982.40 = 126,374.40 : x
  2. Step 2: Convert to fraction form
    231,436.80/346,982.40 = 126,374.40/x
  3. Step 3: Cross multiply
    231,436.80x = 346,982.40 × 126,374.40
  4. Step 4: Simplify right side
    231,436.80x = 43,849,692,610.56
  5. Step 5: Solve for x
    x = 43,849,692,610.56/231,436.80
  6. Step 6: Final answer
    x = 189,467.24

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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.