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Finding the Fourth Proportional to 197,640.87, 296,756.52 and 194,688.42

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Solution

The fourth proportional to 197,640.87, 296,756.52 and 194,688.42 is: 292,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,640.87 : 296,756.52 = 194,688.42 : x
  2. Step 2: Convert to fraction form
    197,640.87/296,756.52 = 194,688.42/x
  3. Step 3: Cross multiply
    197,640.87x = 296,756.52 × 194,688.42
  4. Step 4: Simplify right side
    197,640.87x = 57,775,058,003.50
  5. Step 5: Solve for x
    x = 57,775,058,003.50/197,640.87
  6. Step 6: Final answer
    x = 292,323.43

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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.