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Finding the Fourth Proportional to 197,294.05, 296,151.67 and 85,029.67

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Solution

The fourth proportional to 197,294.05, 296,151.67 and 85,029.67 is: 127,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,294.05 : 296,151.67 = 85,029.67 : x
  2. Step 2: Convert to fraction form
    197,294.05/296,151.67 = 85,029.67/x
  3. Step 3: Cross multiply
    197,294.05x = 296,151.67 × 85,029.67
  4. Step 4: Simplify right side
    197,294.05x = 25,181,677,289.29
  5. Step 5: Solve for x
    x = 25,181,677,289.29/197,294.05
  6. Step 6: Final answer
    x = 127,635.26

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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.