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Finding the Fourth Proportional to 144,422.96, 199,322.25 and 80,764.34

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Solution

The fourth proportional to 144,422.96, 199,322.25 and 80,764.34 is: 111,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,422.96 : 199,322.25 = 80,764.34 : x
  2. Step 2: Convert to fraction form
    144,422.96/199,322.25 = 80,764.34/x
  3. Step 3: Cross multiply
    144,422.96x = 199,322.25 × 80,764.34
  4. Step 4: Simplify right side
    144,422.96x = 16,098,129,968.57
  5. Step 5: Solve for x
    x = 16,098,129,968.57/144,422.96
  6. Step 6: Final answer
    x = 111,465.17

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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.