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Finding the Fourth Proportional to 156,964.20, 235,100.70 and 136,228.20

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Solution

The fourth proportional to 156,964.20, 235,100.70 and 136,228.20 is: 204,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964.20 : 235,100.70 = 136,228.20 : x
  2. Step 2: Convert to fraction form
    156,964.20/235,100.70 = 136,228.20/x
  3. Step 3: Cross multiply
    156,964.20x = 235,100.70 × 136,228.20
  4. Step 4: Simplify right side
    156,964.20x = 32,027,345,179.74
  5. Step 5: Solve for x
    x = 32,027,345,179.74/156,964.20
  6. Step 6: Final answer
    x = 204,042.36

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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.