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Finding the Fourth Proportional to 156,195.56, 234,302.42 and 43,884.54

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Solution

The fourth proportional to 156,195.56, 234,302.42 and 43,884.54 is: 65,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,195.56 : 234,302.42 = 43,884.54 : x
  2. Step 2: Convert to fraction form
    156,195.56/234,302.42 = 43,884.54/x
  3. Step 3: Cross multiply
    156,195.56x = 234,302.42 × 43,884.54
  4. Step 4: Simplify right side
    156,195.56x = 10,282,254,032.30
  5. Step 5: Solve for x
    x = 10,282,254,032.30/156,195.56
  6. Step 6: Final answer
    x = 65,829.36

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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.