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Finding the Fourth Proportional to 231,802.80, 347,617.80 and 161,473.20

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Solution

The fourth proportional to 231,802.80, 347,617.80 and 161,473.20 is: 242,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,802.80 : 347,617.80 = 161,473.20 : x
  2. Step 2: Convert to fraction form
    231,802.80/347,617.80 = 161,473.20/x
  3. Step 3: Cross multiply
    231,802.80x = 347,617.80 × 161,473.20
  4. Step 4: Simplify right side
    231,802.80x = 56,130,958,542.96
  5. Step 5: Solve for x
    x = 56,130,958,542.96/231,802.80
  6. Step 6: Final answer
    x = 242,149.61

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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.