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Finding the Fourth Proportional to 105,811.67, 146,020.02 and 58,068.02

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Solution

The fourth proportional to 105,811.67, 146,020.02 and 58,068.02 is: 80,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,811.67 : 146,020.02 = 58,068.02 : x
  2. Step 2: Convert to fraction form
    105,811.67/146,020.02 = 58,068.02/x
  3. Step 3: Cross multiply
    105,811.67x = 146,020.02 × 58,068.02
  4. Step 4: Simplify right side
    105,811.67x = 8,479,093,441.76
  5. Step 5: Solve for x
    x = 8,479,093,441.76/105,811.67
  6. Step 6: Final answer
    x = 80,133.82

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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.