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Finding the Fourth Proportional to 182,672.94, 251,946 and 117,268.14

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Solution

The fourth proportional to 182,672.94, 251,946 and 117,268.14 is: 161,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,672.94 : 251,946 = 117,268.14 : x
  2. Step 2: Convert to fraction form
    182,672.94/251,946 = 117,268.14/x
  3. Step 3: Cross multiply
    182,672.94x = 251,946 × 117,268.14
  4. Step 4: Simplify right side
    182,672.94x = 29,545,238,800.44
  5. Step 5: Solve for x
    x = 29,545,238,800.44/182,672.94
  6. Step 6: Final answer
    x = 161,738.45

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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.