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Finding the Fourth Proportional to 105,924.52, 146,177.04 and 58,178.98

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Solution

The fourth proportional to 105,924.52, 146,177.04 and 58,178.98 is: 80,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,924.52 : 146,177.04 = 58,178.98 : x
  2. Step 2: Convert to fraction form
    105,924.52/146,177.04 = 58,178.98/x
  3. Step 3: Cross multiply
    105,924.52x = 146,177.04 × 58,178.98
  4. Step 4: Simplify right side
    105,924.52x = 8,504,431,086.62
  5. Step 5: Solve for x
    x = 8,504,431,086.62/105,924.52
  6. Step 6: Final answer
    x = 80,287.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.