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Finding the Fourth Proportional to 182,647.62, 252,051.21 and 102,076.38

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Solution

The fourth proportional to 182,647.62, 252,051.21 and 102,076.38 is: 140,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,647.62 : 252,051.21 = 102,076.38 : x
  2. Step 2: Convert to fraction form
    182,647.62/252,051.21 = 102,076.38/x
  3. Step 3: Cross multiply
    182,647.62x = 252,051.21 × 102,076.38
  4. Step 4: Simplify right side
    182,647.62x = 25,728,475,091.42
  5. Step 5: Solve for x
    x = 25,728,475,091.42/182,647.62
  6. Step 6: Final answer
    x = 140,864.00

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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.