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Finding the Fourth Proportional to 201,902.53, 278,627.37 and 111,261.74

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Solution

The fourth proportional to 201,902.53, 278,627.37 and 111,261.74 is: 153,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.53 : 278,627.37 = 111,261.74 : x
  2. Step 2: Convert to fraction form
    201,902.53/278,627.37 = 111,261.74/x
  3. Step 3: Cross multiply
    201,902.53x = 278,627.37 × 111,261.74
  4. Step 4: Simplify right side
    201,902.53x = 31,000,565,997.82
  5. Step 5: Solve for x
    x = 31,000,565,997.82/201,902.53
  6. Step 6: Final answer
    x = 153,542.24

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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.