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Finding the Fourth Proportional to 140,958.24, 194,525.04 and 77,292.24

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Solution

The fourth proportional to 140,958.24, 194,525.04 and 77,292.24 is: 106,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,958.24 : 194,525.04 = 77,292.24 : x
  2. Step 2: Convert to fraction form
    140,958.24/194,525.04 = 77,292.24/x
  3. Step 3: Cross multiply
    140,958.24x = 194,525.04 × 77,292.24
  4. Step 4: Simplify right side
    140,958.24x = 15,035,276,077.69
  5. Step 5: Solve for x
    x = 15,035,276,077.69/140,958.24
  6. Step 6: Final answer
    x = 106,664.75

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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.