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Finding the Fourth Proportional to 273,852.83, 410,717.14 and 123,994.19

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Solution

The fourth proportional to 273,852.83, 410,717.14 and 123,994.19 is: 185,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,852.83 : 410,717.14 = 123,994.19 : x
  2. Step 2: Convert to fraction form
    273,852.83/410,717.14 = 123,994.19/x
  3. Step 3: Cross multiply
    273,852.83x = 410,717.14 × 123,994.19
  4. Step 4: Simplify right side
    273,852.83x = 50,926,536,729.85
  5. Step 5: Solve for x
    x = 50,926,536,729.85/273,852.83
  6. Step 6: Final answer
    x = 185,963.16

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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.