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Finding the Fourth Proportional to 197,092.74, 271,987.80 and 106,448.70

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Solution

The fourth proportional to 197,092.74, 271,987.80 and 106,448.70 is: 146,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,092.74 : 271,987.80 = 106,448.70 : x
  2. Step 2: Convert to fraction form
    197,092.74/271,987.80 = 106,448.70/x
  3. Step 3: Cross multiply
    197,092.74x = 271,987.80 × 106,448.70
  4. Step 4: Simplify right side
    197,092.74x = 28,952,747,725.86
  5. Step 5: Solve for x
    x = 28,952,747,725.86/197,092.74
  6. Step 6: Final answer
    x = 146,899.11

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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.