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Finding the Fourth Proportional to 119,163.35, 164,446.40 and 65,449.01

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Solution

The fourth proportional to 119,163.35, 164,446.40 and 65,449.01 is: 90,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163.35 : 164,446.40 = 65,449.01 : x
  2. Step 2: Convert to fraction form
    119,163.35/164,446.40 = 65,449.01/x
  3. Step 3: Cross multiply
    119,163.35x = 164,446.40 × 65,449.01
  4. Step 4: Simplify right side
    119,163.35x = 10,762,853,750.82
  5. Step 5: Solve for x
    x = 10,762,853,750.82/119,163.35
  6. Step 6: Final answer
    x = 90,320.17

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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.