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Finding the Fourth Proportional to 108,256.50, 162,452.41 and 52,102.54

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Solution

The fourth proportional to 108,256.50, 162,452.41 and 52,102.54 is: 78,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,256.50 : 162,452.41 = 52,102.54 : x
  2. Step 2: Convert to fraction form
    108,256.50/162,452.41 = 52,102.54/x
  3. Step 3: Cross multiply
    108,256.50x = 162,452.41 × 52,102.54
  4. Step 4: Simplify right side
    108,256.50x = 8,464,183,409.47
  5. Step 5: Solve for x
    x = 8,464,183,409.47/108,256.50
  6. Step 6: Final answer
    x = 78,186.38

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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.