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Finding the Fourth Proportional to 207,908.10, 311,401.35 and 161,008.90

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Solution

The fourth proportional to 207,908.10, 311,401.35 and 161,008.90 is: 241,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908.10 : 311,401.35 = 161,008.90 : x
  2. Step 2: Convert to fraction form
    207,908.10/311,401.35 = 161,008.90/x
  3. Step 3: Cross multiply
    207,908.10x = 311,401.35 × 161,008.90
  4. Step 4: Simplify right side
    207,908.10x = 50,138,388,822.02
  5. Step 5: Solve for x
    x = 50,138,388,822.02/207,908.10
  6. Step 6: Final answer
    x = 241,156.50

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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.