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Finding the Fourth Proportional to 130,770.76, 196,185.30 and 47,664.76

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Solution

The fourth proportional to 130,770.76, 196,185.30 and 47,664.76 is: 71,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,770.76 : 196,185.30 = 47,664.76 : x
  2. Step 2: Convert to fraction form
    130,770.76/196,185.30 = 47,664.76/x
  3. Step 3: Cross multiply
    130,770.76x = 196,185.30 × 47,664.76
  4. Step 4: Simplify right side
    130,770.76x = 9,351,125,240.03
  5. Step 5: Solve for x
    x = 9,351,125,240.03/130,770.76
  6. Step 6: Final answer
    x = 71,507.77

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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.