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Finding the Fourth Proportional to 147,057.90, 218,923.80 and 146,183.10

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Solution

The fourth proportional to 147,057.90, 218,923.80 and 146,183.10 is: 217,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,057.90 : 218,923.80 = 146,183.10 : x
  2. Step 2: Convert to fraction form
    147,057.90/218,923.80 = 146,183.10/x
  3. Step 3: Cross multiply
    147,057.90x = 218,923.80 × 146,183.10
  4. Step 4: Simplify right side
    147,057.90x = 32,002,959,747.78
  5. Step 5: Solve for x
    x = 32,002,959,747.78/147,057.90
  6. Step 6: Final answer
    x = 217,621.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.