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Finding the Fourth Proportional to 229,319.52, 344,006.63 and 110,905.77

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Solution

The fourth proportional to 229,319.52, 344,006.63 and 110,905.77 is: 166,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,319.52 : 344,006.63 = 110,905.77 : x
  2. Step 2: Convert to fraction form
    229,319.52/344,006.63 = 110,905.77/x
  3. Step 3: Cross multiply
    229,319.52x = 344,006.63 × 110,905.77
  4. Step 4: Simplify right side
    229,319.52x = 38,152,320,353.25
  5. Step 5: Solve for x
    x = 38,152,320,353.25/229,319.52
  6. Step 6: Final answer
    x = 166,371.88

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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.