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Finding the Fourth Proportional to 161,199.30, 241,470.90 and 82,357.95

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Solution

The fourth proportional to 161,199.30, 241,470.90 and 82,357.95 is: 123,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,199.30 : 241,470.90 = 82,357.95 : x
  2. Step 2: Convert to fraction form
    161,199.30/241,470.90 = 82,357.95/x
  3. Step 3: Cross multiply
    161,199.30x = 241,470.90 × 82,357.95
  4. Step 4: Simplify right side
    161,199.30x = 19,887,048,308.66
  5. Step 5: Solve for x
    x = 19,887,048,308.66/161,199.30
  6. Step 6: Final answer
    x = 123,369.32

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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.