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Finding the Fourth Proportional to 131,104, 196,656.54 and 47,998

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Solution

The fourth proportional to 131,104, 196,656.54 and 47,998 is: 71,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,104 : 196,656.54 = 47,998 : x
  2. Step 2: Convert to fraction form
    131,104/196,656.54 = 47,998/x
  3. Step 3: Cross multiply
    131,104x = 196,656.54 × 47,998
  4. Step 4: Simplify right side
    131,104x = 9,439,120,606.92
  5. Step 5: Solve for x
    x = 9,439,120,606.92/131,104
  6. Step 6: Final answer
    x = 71,997.20

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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.