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Finding the Fourth Proportional to 102,841.65, 141,995.03 and 80,205.93

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Solution

The fourth proportional to 102,841.65, 141,995.03 and 80,205.93 is: 110,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,841.65 : 141,995.03 = 80,205.93 : x
  2. Step 2: Convert to fraction form
    102,841.65/141,995.03 = 80,205.93/x
  3. Step 3: Cross multiply
    102,841.65x = 141,995.03 × 80,205.93
  4. Step 4: Simplify right side
    102,841.65x = 11,388,843,035.50
  5. Step 5: Solve for x
    x = 11,388,843,035.50/102,841.65
  6. Step 6: Final answer
    x = 110,741.54

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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.