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Finding the Fourth Proportional to 229,225.20, 343,837.80 and 179,458.80

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Solution

The fourth proportional to 229,225.20, 343,837.80 and 179,458.80 is: 269,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,225.20 : 343,837.80 = 179,458.80 : x
  2. Step 2: Convert to fraction form
    229,225.20/343,837.80 = 179,458.80/x
  3. Step 3: Cross multiply
    229,225.20x = 343,837.80 × 179,458.80
  4. Step 4: Simplify right side
    229,225.20x = 61,704,718,982.64
  5. Step 5: Solve for x
    x = 61,704,718,982.64/229,225.20
  6. Step 6: Final answer
    x = 269,188.20

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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.