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Finding the Fourth Proportional to 200,752.73, 301,174.54 and 67,629.35

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Solution

The fourth proportional to 200,752.73, 301,174.54 and 67,629.35 is: 101,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,752.73 : 301,174.54 = 67,629.35 : x
  2. Step 2: Convert to fraction form
    200,752.73/301,174.54 = 67,629.35/x
  3. Step 3: Cross multiply
    200,752.73x = 301,174.54 × 67,629.35
  4. Step 4: Simplify right side
    200,752.73x = 20,368,238,376.75
  5. Step 5: Solve for x
    x = 20,368,238,376.75/200,752.73
  6. Step 6: Final answer
    x = 101,459.33

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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.