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Finding the Fourth Proportional to 182,325, 251,618.34 and 106,897.80

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Solution

The fourth proportional to 182,325, 251,618.34 and 106,897.80 is: 147,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,325 : 251,618.34 = 106,897.80 : x
  2. Step 2: Convert to fraction form
    182,325/251,618.34 = 106,897.80/x
  3. Step 3: Cross multiply
    182,325x = 251,618.34 × 106,897.80
  4. Step 4: Simplify right side
    182,325x = 26,897,446,985.65
  5. Step 5: Solve for x
    x = 26,897,446,985.65/182,325
  6. Step 6: Final answer
    x = 147,524.73

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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.