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Finding the Fourth Proportional to 201,904.88, 278,618.76 and 117,049.52

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Solution

The fourth proportional to 201,904.88, 278,618.76 and 117,049.52 is: 161,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904.88 : 278,618.76 = 117,049.52 : x
  2. Step 2: Convert to fraction form
    201,904.88/278,618.76 = 117,049.52/x
  3. Step 3: Cross multiply
    201,904.88x = 278,618.76 × 117,049.52
  4. Step 4: Simplify right side
    201,904.88x = 32,612,192,121.00
  5. Step 5: Solve for x
    x = 32,612,192,121.00/201,904.88
  6. Step 6: Final answer
    x = 161,522.56

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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.