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Finding the Fourth Proportional to 156,193.51, 234,299.34 and 43,882.48

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Solution

The fourth proportional to 156,193.51, 234,299.34 and 43,882.48 is: 65,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,193.51 : 234,299.34 = 43,882.48 : x
  2. Step 2: Convert to fraction form
    156,193.51/234,299.34 = 43,882.48/x
  3. Step 3: Cross multiply
    156,193.51x = 234,299.34 × 43,882.48
  4. Step 4: Simplify right side
    156,193.51x = 10,281,635,515.81
  5. Step 5: Solve for x
    x = 10,281,635,515.81/156,193.51
  6. Step 6: Final answer
    x = 65,826.27

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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.