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Finding the Fourth Proportional to 197,129.60, 295,694.40 and 64,014.20

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Solution

The fourth proportional to 197,129.60, 295,694.40 and 64,014.20 is: 96,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,129.60 : 295,694.40 = 64,014.20 : x
  2. Step 2: Convert to fraction form
    197,129.60/295,694.40 = 64,014.20/x
  3. Step 3: Cross multiply
    197,129.60x = 295,694.40 × 64,014.20
  4. Step 4: Simplify right side
    197,129.60x = 18,928,640,460.48
  5. Step 5: Solve for x
    x = 18,928,640,460.48/197,129.60
  6. Step 6: Final answer
    x = 96,021.30

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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.