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Finding the Fourth Proportional to 201,894.89, 278,614.96 and 117,061.16

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Solution

The fourth proportional to 201,894.89, 278,614.96 and 117,061.16 is: 161,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.89 : 278,614.96 = 117,061.16 : x
  2. Step 2: Convert to fraction form
    201,894.89/278,614.96 = 117,061.16/x
  3. Step 3: Cross multiply
    201,894.89x = 278,614.96 × 117,061.16
  4. Step 4: Simplify right side
    201,894.89x = 32,614,988,725.23
  5. Step 5: Solve for x
    x = 32,614,988,725.23/201,894.89
  6. Step 6: Final answer
    x = 161,544.40

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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.