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Finding the Fourth Proportional to 229,168.62, 343,762.25 and 109,163.88

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Solution

The fourth proportional to 229,168.62, 343,762.25 and 109,163.88 is: 163,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,168.62 : 343,762.25 = 109,163.88 : x
  2. Step 2: Convert to fraction form
    229,168.62/343,762.25 = 109,163.88/x
  3. Step 3: Cross multiply
    229,168.62x = 343,762.25 × 109,163.88
  4. Step 4: Simplify right side
    229,168.62x = 37,526,421,007.53
  5. Step 5: Solve for x
    x = 37,526,421,007.53/229,168.62
  6. Step 6: Final answer
    x = 163,750.26

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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.