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Finding the Fourth Proportional to 182,665.30, 252,089.93 and 102,096.22

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Solution

The fourth proportional to 182,665.30, 252,089.93 and 102,096.22 is: 140,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,665.30 : 252,089.93 = 102,096.22 : x
  2. Step 2: Convert to fraction form
    182,665.30/252,089.93 = 102,096.22/x
  3. Step 3: Cross multiply
    182,665.30x = 252,089.93 × 102,096.22
  4. Step 4: Simplify right side
    182,665.30x = 25,737,428,578.08
  5. Step 5: Solve for x
    x = 25,737,428,578.08/182,665.30
  6. Step 6: Final answer
    x = 140,899.39

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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.