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Finding the Fourth Proportional to 182,583.78, 274,101.20 and 86,612.75

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Solution

The fourth proportional to 182,583.78, 274,101.20 and 86,612.75 is: 130,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,583.78 : 274,101.20 = 86,612.75 : x
  2. Step 2: Convert to fraction form
    182,583.78/274,101.20 = 86,612.75/x
  3. Step 3: Cross multiply
    182,583.78x = 274,101.20 × 86,612.75
  4. Step 4: Simplify right side
    182,583.78x = 23,740,658,710.30
  5. Step 5: Solve for x
    x = 23,740,658,710.30/182,583.78
  6. Step 6: Final answer
    x = 130,026.11

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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.