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Finding the Fourth Proportional to 169,231.40, 253,847.10 and 161,455.40

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Solution

The fourth proportional to 169,231.40, 253,847.10 and 161,455.40 is: 242,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,231.40 : 253,847.10 = 161,455.40 : x
  2. Step 2: Convert to fraction form
    169,231.40/253,847.10 = 161,455.40/x
  3. Step 3: Cross multiply
    169,231.40x = 253,847.10 × 161,455.40
  4. Step 4: Simplify right side
    169,231.40x = 40,984,985,069.34
  5. Step 5: Solve for x
    x = 40,984,985,069.34/169,231.40
  6. Step 6: Final answer
    x = 242,183.10

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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.