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Finding the Fourth Proportional to 231,136.79, 346,815.14 and 160,168.64

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Solution

The fourth proportional to 231,136.79, 346,815.14 and 160,168.64 is: 240,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,136.79 : 346,815.14 = 160,168.64 : x
  2. Step 2: Convert to fraction form
    231,136.79/346,815.14 = 160,168.64/x
  3. Step 3: Cross multiply
    231,136.79x = 346,815.14 × 160,168.64
  4. Step 4: Simplify right side
    231,136.79x = 55,548,906,770.29
  5. Step 5: Solve for x
    x = 55,548,906,770.29/231,136.79
  6. Step 6: Final answer
    x = 240,329.15

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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.