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Finding the Fourth Proportional to 166,773.50, 230,183.16 and 106,330.22

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Solution

The fourth proportional to 166,773.50, 230,183.16 and 106,330.22 is: 146,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,773.50 : 230,183.16 = 106,330.22 : x
  2. Step 2: Convert to fraction form
    166,773.50/230,183.16 = 106,330.22/x
  3. Step 3: Cross multiply
    166,773.50x = 230,183.16 × 106,330.22
  4. Step 4: Simplify right side
    166,773.50x = 24,475,426,043.10
  5. Step 5: Solve for x
    x = 24,475,426,043.10/166,773.50
  6. Step 6: Final answer
    x = 146,758.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.