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Finding the Fourth Proportional to 120,632.48, 166,469.58 and 69,643.49

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Solution

The fourth proportional to 120,632.48, 166,469.58 and 69,643.49 is: 96,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,632.48 : 166,469.58 = 69,643.49 : x
  2. Step 2: Convert to fraction form
    120,632.48/166,469.58 = 69,643.49/x
  3. Step 3: Cross multiply
    120,632.48x = 166,469.58 × 69,643.49
  4. Step 4: Simplify right side
    120,632.48x = 11,593,521,697.69
  5. Step 5: Solve for x
    x = 11,593,521,697.69/120,632.48
  6. Step 6: Final answer
    x = 96,106.14

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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.