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Finding the Fourth Proportional to 229,009.60, 343,572.96 and 71,239.44

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Solution

The fourth proportional to 229,009.60, 343,572.96 and 71,239.44 is: 106,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,009.60 : 343,572.96 = 71,239.44 : x
  2. Step 2: Convert to fraction form
    229,009.60/343,572.96 = 71,239.44/x
  3. Step 3: Cross multiply
    229,009.60x = 343,572.96 × 71,239.44
  4. Step 4: Simplify right side
    229,009.60x = 24,475,945,269.54
  5. Step 5: Solve for x
    x = 24,475,945,269.54/229,009.60
  6. Step 6: Final answer
    x = 106,877.38

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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.