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Finding the Fourth Proportional to 182,645.84, 251,984.84 and 106,161

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Solution

The fourth proportional to 182,645.84, 251,984.84 and 106,161 is: 146,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,645.84 : 251,984.84 = 106,161 : x
  2. Step 2: Convert to fraction form
    182,645.84/251,984.84 = 106,161/x
  3. Step 3: Cross multiply
    182,645.84x = 251,984.84 × 106,161
  4. Step 4: Simplify right side
    182,645.84x = 26,750,962,599.24
  5. Step 5: Solve for x
    x = 26,750,962,599.24/182,645.84
  6. Step 6: Final answer
    x = 146,463.57

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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.