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Finding the Fourth Proportional to 201,792.96, 278,506.80 and 116,958.96

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Solution

The fourth proportional to 201,792.96, 278,506.80 and 116,958.96 is: 161,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,792.96 : 278,506.80 = 116,958.96 : x
  2. Step 2: Convert to fraction form
    201,792.96/278,506.80 = 116,958.96/x
  3. Step 3: Cross multiply
    201,792.96x = 278,506.80 × 116,958.96
  4. Step 4: Simplify right side
    201,792.96x = 32,573,865,680.93
  5. Step 5: Solve for x
    x = 32,573,865,680.93/201,792.96
  6. Step 6: Final answer
    x = 161,422.21

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Why These Related Problems?

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