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Finding the Fourth Proportional to 122,653.64, 183,792.66 and 82,523.97

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Solution

The fourth proportional to 122,653.64, 183,792.66 and 82,523.97 is: 123,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,653.64 : 183,792.66 = 82,523.97 : x
  2. Step 2: Convert to fraction form
    122,653.64/183,792.66 = 82,523.97/x
  3. Step 3: Cross multiply
    122,653.64x = 183,792.66 × 82,523.97
  4. Step 4: Simplify right side
    122,653.64x = 15,167,299,575.45
  5. Step 5: Solve for x
    x = 15,167,299,575.45/122,653.64
  6. Step 6: Final answer
    x = 123,659.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.