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Finding the Fourth Proportional to 182,850.74, 252,361.57 and 105,312

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Solution

The fourth proportional to 182,850.74, 252,361.57 and 105,312 is: 145,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,850.74 : 252,361.57 = 105,312 : x
  2. Step 2: Convert to fraction form
    182,850.74/252,361.57 = 105,312/x
  3. Step 3: Cross multiply
    182,850.74x = 252,361.57 × 105,312
  4. Step 4: Simplify right side
    182,850.74x = 26,576,701,659.84
  5. Step 5: Solve for x
    x = 26,576,701,659.84/182,850.74
  6. Step 6: Final answer
    x = 145,346.43

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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.