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Finding the Fourth Proportional to 201,844.89, 278,545.92 and 117,011.16

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Solution

The fourth proportional to 201,844.89, 278,545.92 and 117,011.16 is: 161,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,844.89 : 278,545.92 = 117,011.16 : x
  2. Step 2: Convert to fraction form
    201,844.89/278,545.92 = 117,011.16/x
  3. Step 3: Cross multiply
    201,844.89x = 278,545.92 × 117,011.16
  4. Step 4: Simplify right side
    201,844.89x = 32,592,981,212.47
  5. Step 5: Solve for x
    x = 32,592,981,212.47/201,844.89
  6. Step 6: Final answer
    x = 161,475.38

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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.