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Finding the Fourth Proportional to 182,347, 251,648.72 and 106,919.80

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Solution

The fourth proportional to 182,347, 251,648.72 and 106,919.80 is: 147,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,347 : 251,648.72 = 106,919.80 : x
  2. Step 2: Convert to fraction form
    182,347/251,648.72 = 106,919.80/x
  3. Step 3: Cross multiply
    182,347x = 251,648.72 × 106,919.80
  4. Step 4: Simplify right side
    182,347x = 26,906,230,812.66
  5. Step 5: Solve for x
    x = 26,906,230,812.66/182,347
  6. Step 6: Final answer
    x = 147,555.11

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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.