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Finding the Fourth Proportional to 256,696.02, 384,723 and 123,540.66

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Solution

The fourth proportional to 256,696.02, 384,723 and 123,540.66 is: 185,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,696.02 : 384,723 = 123,540.66 : x
  2. Step 2: Convert to fraction form
    256,696.02/384,723 = 123,540.66/x
  3. Step 3: Cross multiply
    256,696.02x = 384,723 × 123,540.66
  4. Step 4: Simplify right side
    256,696.02x = 47,528,933,337.18
  5. Step 5: Solve for x
    x = 47,528,933,337.18/256,696.02
  6. Step 6: Final answer
    x = 185,156.49

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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.