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Finding the Fourth Proportional to 105,419.65, 158,081.93 and 52,090.84

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Solution

The fourth proportional to 105,419.65, 158,081.93 and 52,090.84 is: 78,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,419.65 : 158,081.93 = 52,090.84 : x
  2. Step 2: Convert to fraction form
    105,419.65/158,081.93 = 52,090.84/x
  3. Step 3: Cross multiply
    105,419.65x = 158,081.93 × 52,090.84
  4. Step 4: Simplify right side
    105,419.65x = 8,234,620,059.94
  5. Step 5: Solve for x
    x = 8,234,620,059.94/105,419.65
  6. Step 6: Final answer
    x = 78,112.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.