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Finding the Fourth Proportional to 196,704.70, 295,057.05 and 194,955.10

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Solution

The fourth proportional to 196,704.70, 295,057.05 and 194,955.10 is: 292,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,704.70 : 295,057.05 = 194,955.10 : x
  2. Step 2: Convert to fraction form
    196,704.70/295,057.05 = 194,955.10/x
  3. Step 3: Cross multiply
    196,704.70x = 295,057.05 × 194,955.10
  4. Step 4: Simplify right side
    196,704.70x = 57,522,876,688.46
  5. Step 5: Solve for x
    x = 57,522,876,688.46/196,704.70
  6. Step 6: Final answer
    x = 292,432.65

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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.