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Finding the Fourth Proportional to 229,375.45, 343,923.45 and 102,991.15

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Solution

The fourth proportional to 229,375.45, 343,923.45 and 102,991.15 is: 154,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,375.45 : 343,923.45 = 102,991.15 : x
  2. Step 2: Convert to fraction form
    229,375.45/343,923.45 = 102,991.15/x
  3. Step 3: Cross multiply
    229,375.45x = 343,923.45 × 102,991.15
  4. Step 4: Simplify right side
    229,375.45x = 35,421,071,627.47
  5. Step 5: Solve for x
    x = 35,421,071,627.47/229,375.45
  6. Step 6: Final answer
    x = 154,423.99

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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.