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Finding the Fourth Proportional to 197,129.40, 295,694.10 and 150,473.40

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Solution

The fourth proportional to 197,129.40, 295,694.10 and 150,473.40 is: 225,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,129.40 : 295,694.10 = 150,473.40 : x
  2. Step 2: Convert to fraction form
    197,129.40/295,694.10 = 150,473.40/x
  3. Step 3: Cross multiply
    197,129.40x = 295,694.10 × 150,473.40
  4. Step 4: Simplify right side
    197,129.40x = 44,494,096,586.94
  5. Step 5: Solve for x
    x = 44,494,096,586.94/197,129.40
  6. Step 6: Final answer
    x = 225,710.10

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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.