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Finding the Fourth Proportional to 201,698.76, 278,350.92 and 111,061.38

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Solution

The fourth proportional to 201,698.76, 278,350.92 and 111,061.38 is: 153,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.76 : 278,350.92 = 111,061.38 : x
  2. Step 2: Convert to fraction form
    201,698.76/278,350.92 = 111,061.38/x
  3. Step 3: Cross multiply
    201,698.76x = 278,350.92 × 111,061.38
  4. Step 4: Simplify right side
    201,698.76x = 30,914,037,299.47
  5. Step 5: Solve for x
    x = 30,914,037,299.47/201,698.76
  6. Step 6: Final answer
    x = 153,268.36

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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.