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Finding the Fourth Proportional to 197,134.80, 295,669.80 and 54,989.79

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Solution

The fourth proportional to 197,134.80, 295,669.80 and 54,989.79 is: 82,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,134.80 : 295,669.80 = 54,989.79 : x
  2. Step 2: Convert to fraction form
    197,134.80/295,669.80 = 54,989.79/x
  3. Step 3: Cross multiply
    197,134.80x = 295,669.80 × 54,989.79
  4. Step 4: Simplify right side
    197,134.80x = 16,258,820,211.34
  5. Step 5: Solve for x
    x = 16,258,820,211.34/197,134.80
  6. Step 6: Final answer
    x = 82,475.65

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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.