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Finding the Fourth Proportional to 182,412, 273,522.96 and 82,486.08

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Solution

The fourth proportional to 182,412, 273,522.96 and 82,486.08 is: 123,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,412 : 273,522.96 = 82,486.08 : x
  2. Step 2: Convert to fraction form
    182,412/273,522.96 = 82,486.08/x
  3. Step 3: Cross multiply
    182,412x = 273,522.96 × 82,486.08
  4. Step 4: Simplify right side
    182,412x = 22,561,836,760.40
  5. Step 5: Solve for x
    x = 22,561,836,760.40/182,412
  6. Step 6: Final answer
    x = 123,686.14

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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.