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Finding the Fourth Proportional to 197,092.47, 271,987.88 and 112,209.54

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Solution

The fourth proportional to 197,092.47, 271,987.88 and 112,209.54 is: 154,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,092.47 : 271,987.88 = 112,209.54 : x
  2. Step 2: Convert to fraction form
    197,092.47/271,987.88 = 112,209.54/x
  3. Step 3: Cross multiply
    197,092.47x = 271,987.88 × 112,209.54
  4. Step 4: Simplify right side
    197,092.47x = 30,519,634,900.38
  5. Step 5: Solve for x
    x = 30,519,634,900.38/197,092.47
  6. Step 6: Final answer
    x = 154,849.32

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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.