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Finding the Fourth Proportional to 130,007.20, 195,097.20 and 73,847.20

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Solution

The fourth proportional to 130,007.20, 195,097.20 and 73,847.20 is: 110,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,007.20 : 195,097.20 = 73,847.20 : x
  2. Step 2: Convert to fraction form
    130,007.20/195,097.20 = 73,847.20/x
  3. Step 3: Cross multiply
    130,007.20x = 195,097.20 × 73,847.20
  4. Step 4: Simplify right side
    130,007.20x = 14,407,381,947.84
  5. Step 5: Solve for x
    x = 14,407,381,947.84/130,007.20
  6. Step 6: Final answer
    x = 110,819.88

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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.