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Finding the Fourth Proportional to 207,652.30, 311,824.05 and 114,225.10

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Solution

The fourth proportional to 207,652.30, 311,824.05 and 114,225.10 is: 171,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,652.30 : 311,824.05 = 114,225.10 : x
  2. Step 2: Convert to fraction form
    207,652.30/311,824.05 = 114,225.10/x
  3. Step 3: Cross multiply
    207,652.30x = 311,824.05 × 114,225.10
  4. Step 4: Simplify right side
    207,652.30x = 35,618,133,293.66
  5. Step 5: Solve for x
    x = 35,618,133,293.66/207,652.30
  6. Step 6: Final answer
    x = 171,527.76

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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.