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Finding the Fourth Proportional to 194,141.20, 291,221.40 and 100,829.20

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Solution

The fourth proportional to 194,141.20, 291,221.40 and 100,829.20 is: 151,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,141.20 : 291,221.40 = 100,829.20 : x
  2. Step 2: Convert to fraction form
    194,141.20/291,221.40 = 100,829.20/x
  3. Step 3: Cross multiply
    194,141.20x = 291,221.40 × 100,829.20
  4. Step 4: Simplify right side
    194,141.20x = 29,363,620,784.88
  5. Step 5: Solve for x
    x = 29,363,620,784.88/194,141.20
  6. Step 6: Final answer
    x = 151,248.79

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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.