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Finding the Fourth Proportional to 229,296.54, 343,941.48 and 161,548.56

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Solution

The fourth proportional to 229,296.54, 343,941.48 and 161,548.56 is: 242,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,296.54 : 343,941.48 = 161,548.56 : x
  2. Step 2: Convert to fraction form
    229,296.54/343,941.48 = 161,548.56/x
  3. Step 3: Cross multiply
    229,296.54x = 343,941.48 × 161,548.56
  4. Step 4: Simplify right side
    229,296.54x = 55,563,250,818.27
  5. Step 5: Solve for x
    x = 55,563,250,818.27/229,296.54
  6. Step 6: Final answer
    x = 242,320.49

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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.