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Finding the Fourth Proportional to 207,814.90, 311,722.35 and 182,154.10

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Solution

The fourth proportional to 207,814.90, 311,722.35 and 182,154.10 is: 273,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,814.90 : 311,722.35 = 182,154.10 : x
  2. Step 2: Convert to fraction form
    207,814.90/311,722.35 = 182,154.10/x
  3. Step 3: Cross multiply
    207,814.90x = 311,722.35 × 182,154.10
  4. Step 4: Simplify right side
    207,814.90x = 56,781,504,114.14
  5. Step 5: Solve for x
    x = 56,781,504,114.14/207,814.90
  6. Step 6: Final answer
    x = 273,231.15

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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.