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Finding the Fourth Proportional to 201,910.91, 278,653.29 and 111,285.32

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Solution

The fourth proportional to 201,910.91, 278,653.29 and 111,285.32 is: 153,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,910.91 : 278,653.29 = 111,285.32 : x
  2. Step 2: Convert to fraction form
    201,910.91/278,653.29 = 111,285.32/x
  3. Step 3: Cross multiply
    201,910.91x = 278,653.29 × 111,285.32
  4. Step 4: Simplify right side
    201,910.91x = 31,010,020,546.70
  5. Step 5: Solve for x
    x = 31,010,020,546.70/201,910.91
  6. Step 6: Final answer
    x = 153,582.69

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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.