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Finding the Fourth Proportional to 194,697.56, 292,046.34 and 76,424.60

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Solution

The fourth proportional to 194,697.56, 292,046.34 and 76,424.60 is: 114,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,697.56 : 292,046.34 = 76,424.60 : x
  2. Step 2: Convert to fraction form
    194,697.56/292,046.34 = 76,424.60/x
  3. Step 3: Cross multiply
    194,697.56x = 292,046.34 × 76,424.60
  4. Step 4: Simplify right side
    194,697.56x = 22,319,524,715.96
  5. Step 5: Solve for x
    x = 22,319,524,715.96/194,697.56
  6. Step 6: Final answer
    x = 114,636.90

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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.