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Finding the Fourth Proportional to 131,103, 196,655.04 and 47,997

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Solution

The fourth proportional to 131,103, 196,655.04 and 47,997 is: 71,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,103 : 196,655.04 = 47,997 : x
  2. Step 2: Convert to fraction form
    131,103/196,655.04 = 47,997/x
  3. Step 3: Cross multiply
    131,103x = 196,655.04 × 47,997
  4. Step 4: Simplify right side
    131,103x = 9,438,851,954.88
  5. Step 5: Solve for x
    x = 9,438,851,954.88/131,103
  6. Step 6: Final answer
    x = 71,995.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.