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Finding the Fourth Proportional to 197,882.60, 296,795.21 and 64,768.14

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Solution

The fourth proportional to 197,882.60, 296,795.21 and 64,768.14 is: 97,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,882.60 : 296,795.21 = 64,768.14 : x
  2. Step 2: Convert to fraction form
    197,882.60/296,795.21 = 64,768.14/x
  3. Step 3: Cross multiply
    197,882.60x = 296,795.21 × 64,768.14
  4. Step 4: Simplify right side
    197,882.60x = 19,222,873,388.77
  5. Step 5: Solve for x
    x = 19,222,873,388.77/197,882.60
  6. Step 6: Final answer
    x = 97,142.82

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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.