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Finding the Fourth Proportional to 201,904.38, 278,640.24 and 111,260.19

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Solution

The fourth proportional to 201,904.38, 278,640.24 and 111,260.19 is: 153,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904.38 : 278,640.24 = 111,260.19 : x
  2. Step 2: Convert to fraction form
    201,904.38/278,640.24 = 111,260.19/x
  3. Step 3: Cross multiply
    201,904.38x = 278,640.24 × 111,260.19
  4. Step 4: Simplify right side
    201,904.38x = 31,001,566,044.05
  5. Step 5: Solve for x
    x = 31,001,566,044.05/201,904.38
  6. Step 6: Final answer
    x = 153,545.78

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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.