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Finding the Fourth Proportional to 228,934.44, 343,012.86 and 110,661.48

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Solution

The fourth proportional to 228,934.44, 343,012.86 and 110,661.48 is: 165,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,934.44 : 343,012.86 = 110,661.48 : x
  2. Step 2: Convert to fraction form
    228,934.44/343,012.86 = 110,661.48/x
  3. Step 3: Cross multiply
    228,934.44x = 343,012.86 × 110,661.48
  4. Step 4: Simplify right side
    228,934.44x = 37,958,310,746.63
  5. Step 5: Solve for x
    x = 37,958,310,746.63/228,934.44
  6. Step 6: Final answer
    x = 165,804.28

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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.