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Finding the Fourth Proportional to 228,877.66, 343,391.01 and 110,562.58

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Solution

The fourth proportional to 228,877.66, 343,391.01 and 110,562.58 is: 165,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,877.66 : 343,391.01 = 110,562.58 : x
  2. Step 2: Convert to fraction form
    228,877.66/343,391.01 = 110,562.58/x
  3. Step 3: Cross multiply
    228,877.66x = 343,391.01 × 110,562.58
  4. Step 4: Simplify right side
    228,877.66x = 37,966,196,014.41
  5. Step 5: Solve for x
    x = 37,966,196,014.41/228,877.66
  6. Step 6: Final answer
    x = 165,879.87

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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.