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Finding the Fourth Proportional to 273,531.30, 410,102.55 and 123,843.30

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Solution

The fourth proportional to 273,531.30, 410,102.55 and 123,843.30 is: 185,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,531.30 : 410,102.55 = 123,843.30 : x
  2. Step 2: Convert to fraction form
    273,531.30/410,102.55 = 123,843.30/x
  3. Step 3: Cross multiply
    273,531.30x = 410,102.55 × 123,843.30
  4. Step 4: Simplify right side
    273,531.30x = 50,788,453,130.42
  5. Step 5: Solve for x
    x = 50,788,453,130.42/273,531.30
  6. Step 6: Final answer
    x = 185,676.93

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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.