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Finding the Fourth Proportional to 200,744.30, 301,116.45 and 67,580.30

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Solution

The fourth proportional to 200,744.30, 301,116.45 and 67,580.30 is: 101,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.30 : 301,116.45 = 67,580.30 : x
  2. Step 2: Convert to fraction form
    200,744.30/301,116.45 = 67,580.30/x
  3. Step 3: Cross multiply
    200,744.30x = 301,116.45 × 67,580.30
  4. Step 4: Simplify right side
    200,744.30x = 20,349,540,025.94
  5. Step 5: Solve for x
    x = 20,349,540,025.94/200,744.30
  6. Step 6: Final answer
    x = 101,370.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.