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Finding the Fourth Proportional to 201,857.36, 278,569.80 and 111,217.04

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Solution

The fourth proportional to 201,857.36, 278,569.80 and 111,217.04 is: 153,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,857.36 : 278,569.80 = 111,217.04 : x
  2. Step 2: Convert to fraction form
    201,857.36/278,569.80 = 111,217.04/x
  3. Step 3: Cross multiply
    201,857.36x = 278,569.80 × 111,217.04
  4. Step 4: Simplify right side
    201,857.36x = 30,981,708,589.39
  5. Step 5: Solve for x
    x = 30,981,708,589.39/201,857.36
  6. Step 6: Final answer
    x = 153,483.18

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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.