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Finding the Fourth Proportional to 194,807.70, 292,211.55 and 106,234.20

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Solution

The fourth proportional to 194,807.70, 292,211.55 and 106,234.20 is: 159,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807.70 : 292,211.55 = 106,234.20 : x
  2. Step 2: Convert to fraction form
    194,807.70/292,211.55 = 106,234.20/x
  3. Step 3: Cross multiply
    194,807.70x = 292,211.55 × 106,234.20
  4. Step 4: Simplify right side
    194,807.70x = 31,042,860,245.01
  5. Step 5: Solve for x
    x = 31,042,860,245.01/194,807.70
  6. Step 6: Final answer
    x = 159,351.30

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1.5x scale

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.