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Finding the Fourth Proportional to 105,811.94, 146,024.69 and 58,067.00

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Solution

The fourth proportional to 105,811.94, 146,024.69 and 58,067.00 is: 80,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,811.94 : 146,024.69 = 58,067.00 : x
  2. Step 2: Convert to fraction form
    105,811.94/146,024.69 = 58,067.00/x
  3. Step 3: Cross multiply
    105,811.94x = 146,024.69 × 58,067.00
  4. Step 4: Simplify right side
    105,811.94x = 8,479,215,527.99
  5. Step 5: Solve for x
    x = 8,479,215,527.99/105,811.94
  6. Step 6: Final answer
    x = 80,134.77

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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.