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Finding the Fourth Proportional to 161,200.80, 241,473.15 and 82,359.45

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Solution

The fourth proportional to 161,200.80, 241,473.15 and 82,359.45 is: 123,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,200.80 : 241,473.15 = 82,359.45 : x
  2. Step 2: Convert to fraction form
    161,200.80/241,473.15 = 82,359.45/x
  3. Step 3: Cross multiply
    161,200.80x = 241,473.15 × 82,359.45
  4. Step 4: Simplify right side
    161,200.80x = 19,887,595,823.77
  5. Step 5: Solve for x
    x = 19,887,595,823.77/161,200.80
  6. Step 6: Final answer
    x = 123,371.57

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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.