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Finding the Fourth Proportional to 156,786.40, 235,179.60 and 154,194.40

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Solution

The fourth proportional to 156,786.40, 235,179.60 and 154,194.40 is: 231,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,786.40 : 235,179.60 = 154,194.40 : x
  2. Step 2: Convert to fraction form
    156,786.40/235,179.60 = 154,194.40/x
  3. Step 3: Cross multiply
    156,786.40x = 235,179.60 × 154,194.40
  4. Step 4: Simplify right side
    156,786.40x = 36,263,377,314.24
  5. Step 5: Solve for x
    x = 36,263,377,314.24/156,786.40
  6. Step 6: Final answer
    x = 231,291.60

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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.