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Finding the Fourth Proportional to 207,422.66, 311,380.02 and 174,552.05

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Solution

The fourth proportional to 207,422.66, 311,380.02 and 174,552.05 is: 262,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,422.66 : 311,380.02 = 174,552.05 : x
  2. Step 2: Convert to fraction form
    207,422.66/311,380.02 = 174,552.05/x
  3. Step 3: Cross multiply
    207,422.66x = 311,380.02 × 174,552.05
  4. Step 4: Simplify right side
    207,422.66x = 54,352,019,263.14
  5. Step 5: Solve for x
    x = 54,352,019,263.14/207,422.66
  6. Step 6: Final answer
    x = 262,035.12

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Why These Related Problems?

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