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Finding the Fourth Proportional to 182,351, 251,654.24 and 106,923.80

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Solution

The fourth proportional to 182,351, 251,654.24 and 106,923.80 is: 147,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,351 : 251,654.24 = 106,923.80 : x
  2. Step 2: Convert to fraction form
    182,351/251,654.24 = 106,923.80/x
  3. Step 3: Cross multiply
    182,351x = 251,654.24 × 106,923.80
  4. Step 4: Simplify right side
    182,351x = 26,907,827,626.91
  5. Step 5: Solve for x
    x = 26,907,827,626.91/182,351
  6. Step 6: Final answer
    x = 147,560.63

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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.