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Finding the Fourth Proportional to 130,796.56, 196,170.54 and 34,734.34

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Solution

The fourth proportional to 130,796.56, 196,170.54 and 34,734.34 is: 52,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,796.56 : 196,170.54 = 34,734.34 : x
  2. Step 2: Convert to fraction form
    130,796.56/196,170.54 = 34,734.34/x
  3. Step 3: Cross multiply
    130,796.56x = 196,170.54 × 34,734.34
  4. Step 4: Simplify right side
    130,796.56x = 6,813,854,234.34
  5. Step 5: Solve for x
    x = 6,813,854,234.34/130,796.56
  6. Step 6: Final answer
    x = 52,095.06

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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.