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Finding the Fourth Proportional to 197,234.10, 295,851.15 and 165,741.30

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Solution

The fourth proportional to 197,234.10, 295,851.15 and 165,741.30 is: 248,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,234.10 : 295,851.15 = 165,741.30 : x
  2. Step 2: Convert to fraction form
    197,234.10/295,851.15 = 165,741.30/x
  3. Step 3: Cross multiply
    197,234.10x = 295,851.15 × 165,741.30
  4. Step 4: Simplify right side
    197,234.10x = 49,034,754,207.50
  5. Step 5: Solve for x
    x = 49,034,754,207.50/197,234.10
  6. Step 6: Final answer
    x = 248,611.95

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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.