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Finding the Fourth Proportional to 131,643.92, 197,006.52 and 107,674.40

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Solution

The fourth proportional to 131,643.92, 197,006.52 and 107,674.40 is: 161,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,643.92 : 197,006.52 = 107,674.40 : x
  2. Step 2: Convert to fraction form
    131,643.92/197,006.52 = 107,674.40/x
  3. Step 3: Cross multiply
    131,643.92x = 197,006.52 × 107,674.40
  4. Step 4: Simplify right side
    131,643.92x = 21,212,558,837.09
  5. Step 5: Solve for x
    x = 21,212,558,837.09/131,643.92
  6. Step 6: Final answer
    x = 161,135.88

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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.