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Finding the Fourth Proportional to 229,055.54, 343,301.43 and 109,175.54

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Solution

The fourth proportional to 229,055.54, 343,301.43 and 109,175.54 is: 163,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,055.54 : 343,301.43 = 109,175.54 : x
  2. Step 2: Convert to fraction form
    229,055.54/343,301.43 = 109,175.54/x
  3. Step 3: Cross multiply
    229,055.54x = 343,301.43 × 109,175.54
  4. Step 4: Simplify right side
    229,055.54x = 37,480,119,003.02
  5. Step 5: Solve for x
    x = 37,480,119,003.02/229,055.54
  6. Step 6: Final answer
    x = 163,628.96

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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.