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Finding the Fourth Proportional to 228,562.52, 343,064.92 and 110,317.12

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Solution

The fourth proportional to 228,562.52, 343,064.92 and 110,317.12 is: 165,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,562.52 : 343,064.92 = 110,317.12 : x
  2. Step 2: Convert to fraction form
    228,562.52/343,064.92 = 110,317.12/x
  3. Step 3: Cross multiply
    228,562.52x = 343,064.92 × 110,317.12
  4. Step 4: Simplify right side
    228,562.52x = 37,845,933,947.43
  5. Step 5: Solve for x
    x = 37,845,933,947.43/228,562.52
  6. Step 6: Final answer
    x = 165,582.41

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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.