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Finding the Fourth Proportional to 201,864.84, 278,569.80 and 116,989.80

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Solution

The fourth proportional to 201,864.84, 278,569.80 and 116,989.80 is: 161,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864.84 : 278,569.80 = 116,989.80 : x
  2. Step 2: Convert to fraction form
    201,864.84/278,569.80 = 116,989.80/x
  3. Step 3: Cross multiply
    201,864.84x = 278,569.80 × 116,989.80
  4. Step 4: Simplify right side
    201,864.84x = 32,589,825,188.04
  5. Step 5: Solve for x
    x = 32,589,825,188.04/201,864.84
  6. Step 6: Final answer
    x = 161,443.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.