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Finding the Fourth Proportional to 194,137.20, 291,215.40 and 100,825.20

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Solution

The fourth proportional to 194,137.20, 291,215.40 and 100,825.20 is: 151,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,137.20 : 291,215.40 = 100,825.20 : x
  2. Step 2: Convert to fraction form
    194,137.20/291,215.40 = 100,825.20/x
  3. Step 3: Cross multiply
    194,137.20x = 291,215.40 × 100,825.20
  4. Step 4: Simplify right side
    194,137.20x = 29,361,850,948.08
  5. Step 5: Solve for x
    x = 29,361,850,948.08/194,137.20
  6. Step 6: Final answer
    x = 151,242.79

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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.