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Finding the Fourth Proportional to 273,259.14, 409,857.92 and 73,594.14

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Solution

The fourth proportional to 273,259.14, 409,857.92 and 73,594.14 is: 110,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,259.14 : 409,857.92 = 73,594.14 : x
  2. Step 2: Convert to fraction form
    273,259.14/409,857.92 = 73,594.14/x
  3. Step 3: Cross multiply
    273,259.14x = 409,857.92 × 73,594.14
  4. Step 4: Simplify right side
    273,259.14x = 30,163,141,144.59
  5. Step 5: Solve for x
    x = 30,163,141,144.59/273,259.14
  6. Step 6: Final answer
    x = 110,382.92

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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.