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Finding the Fourth Proportional to 197,963.40, 296,945.10 and 145,475.40

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Solution

The fourth proportional to 197,963.40, 296,945.10 and 145,475.40 is: 218,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,963.40 : 296,945.10 = 145,475.40 : x
  2. Step 2: Convert to fraction form
    197,963.40/296,945.10 = 145,475.40/x
  3. Step 3: Cross multiply
    197,963.40x = 296,945.10 × 145,475.40
  4. Step 4: Simplify right side
    197,963.40x = 43,198,207,200.54
  5. Step 5: Solve for x
    x = 43,198,207,200.54/197,963.40
  6. Step 6: Final answer
    x = 218,213.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.