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Finding the Fourth Proportional to 119,165.21, 164,449.34 and 65,451.48

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Solution

The fourth proportional to 119,165.21, 164,449.34 and 65,451.48 is: 90,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,165.21 : 164,449.34 = 65,451.48 : x
  2. Step 2: Convert to fraction form
    119,165.21/164,449.34 = 65,451.48/x
  3. Step 3: Cross multiply
    119,165.21x = 164,449.34 × 65,451.48
  4. Step 4: Simplify right side
    119,165.21x = 10,763,452,688.02
  5. Step 5: Solve for x
    x = 10,763,452,688.02/119,165.21
  6. Step 6: Final answer
    x = 90,323.78

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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.