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Finding the Fourth Proportional to 201,017, 301,663.74 and 69,689

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Solution

The fourth proportional to 201,017, 301,663.74 and 69,689 is: 104,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,017 : 301,663.74 = 69,689 : x
  2. Step 2: Convert to fraction form
    201,017/301,663.74 = 69,689/x
  3. Step 3: Cross multiply
    201,017x = 301,663.74 × 69,689
  4. Step 4: Simplify right side
    201,017x = 21,022,644,376.86
  5. Step 5: Solve for x
    x = 21,022,644,376.86/201,017
  6. Step 6: Final answer
    x = 104,581.43

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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.