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Finding the Fourth Proportional to 201,765.83, 278,449.43 and 111,121.77

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Solution

The fourth proportional to 201,765.83, 278,449.43 and 111,121.77 is: 153,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,765.83 : 278,449.43 = 111,121.77 : x
  2. Step 2: Convert to fraction form
    201,765.83/278,449.43 = 111,121.77/x
  3. Step 3: Cross multiply
    201,765.83x = 278,449.43 × 111,121.77
  4. Step 4: Simplify right side
    201,765.83x = 30,941,792,820.97
  5. Step 5: Solve for x
    x = 30,941,792,820.97/201,765.83
  6. Step 6: Final answer
    x = 153,354.97

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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.