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Finding the Fourth Proportional to 197,902.40, 296,853.60 and 145,414.40

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Solution

The fourth proportional to 197,902.40, 296,853.60 and 145,414.40 is: 218,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,902.40 : 296,853.60 = 145,414.40 : x
  2. Step 2: Convert to fraction form
    197,902.40/296,853.60 = 145,414.40/x
  3. Step 3: Cross multiply
    197,902.40x = 296,853.60 × 145,414.40
  4. Step 4: Simplify right side
    197,902.40x = 43,166,788,131.84
  5. Step 5: Solve for x
    x = 43,166,788,131.84/197,902.40
  6. Step 6: Final answer
    x = 218,121.60

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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.