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Finding the Fourth Proportional to 361,496.80, 541,856.40 and 136,770.40

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Solution

The fourth proportional to 361,496.80, 541,856.40 and 136,770.40 is: 205,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,496.80 : 541,856.40 = 136,770.40 : x
  2. Step 2: Convert to fraction form
    361,496.80/541,856.40 = 136,770.40/x
  3. Step 3: Cross multiply
    361,496.80x = 541,856.40 × 136,770.40
  4. Step 4: Simplify right side
    361,496.80x = 74,109,916,570.56
  5. Step 5: Solve for x
    x = 74,109,916,570.56/361,496.80
  6. Step 6: Final answer
    x = 205,008.50

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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.