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Finding the Fourth Proportional to 200,892.98, 301,329.70 and 74,557.83

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Solution

The fourth proportional to 200,892.98, 301,329.70 and 74,557.83 is: 111,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,892.98 : 301,329.70 = 74,557.83 : x
  2. Step 2: Convert to fraction form
    200,892.98/301,329.70 = 74,557.83/x
  3. Step 3: Cross multiply
    200,892.98x = 301,329.70 × 74,557.83
  4. Step 4: Simplify right side
    200,892.98x = 22,466,488,546.55
  5. Step 5: Solve for x
    x = 22,466,488,546.55/200,892.98
  6. Step 6: Final answer
    x = 111,833.12

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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.