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Finding the Fourth Proportional to 200,832.30, 301,248.45 and 82,442.70

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Solution

The fourth proportional to 200,832.30, 301,248.45 and 82,442.70 is: 123,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,832.30 : 301,248.45 = 82,442.70 : x
  2. Step 2: Convert to fraction form
    200,832.30/301,248.45 = 82,442.70/x
  3. Step 3: Cross multiply
    200,832.30x = 301,248.45 × 82,442.70
  4. Step 4: Simplify right side
    200,832.30x = 24,835,735,588.82
  5. Step 5: Solve for x
    x = 24,835,735,588.82/200,832.30
  6. Step 6: Final answer
    x = 123,664.05

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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.