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Finding the Fourth Proportional to 201,876.66, 278,588.41 and 111,230.53

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Solution

The fourth proportional to 201,876.66, 278,588.41 and 111,230.53 is: 153,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,876.66 : 278,588.41 = 111,230.53 : x
  2. Step 2: Convert to fraction form
    201,876.66/278,588.41 = 111,230.53/x
  3. Step 3: Cross multiply
    201,876.66x = 278,588.41 × 111,230.53
  4. Step 4: Simplify right side
    201,876.66x = 30,987,535,521.61
  5. Step 5: Solve for x
    x = 30,987,535,521.61/201,876.66
  6. Step 6: Final answer
    x = 153,497.37

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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.