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Finding the Fourth Proportional to 229,052.25, 343,600.25 and 71,238.33

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Solution

The fourth proportional to 229,052.25, 343,600.25 and 71,238.33 is: 106,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,052.25 : 343,600.25 = 71,238.33 : x
  2. Step 2: Convert to fraction form
    229,052.25/343,600.25 = 71,238.33/x
  3. Step 3: Cross multiply
    229,052.25x = 343,600.25 × 71,238.33
  4. Step 4: Simplify right side
    229,052.25x = 24,477,507,641.39
  5. Step 5: Solve for x
    x = 24,477,507,641.39/229,052.25
  6. Step 6: Final answer
    x = 106,864.30

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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.