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Finding the Fourth Proportional to 273,757.16, 410,650.46 and 86,783.24

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Solution

The fourth proportional to 273,757.16, 410,650.46 and 86,783.24 is: 130,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,757.16 : 410,650.46 = 86,783.24 : x
  2. Step 2: Convert to fraction form
    273,757.16/410,650.46 = 86,783.24/x
  3. Step 3: Cross multiply
    273,757.16x = 410,650.46 × 86,783.24
  4. Step 4: Simplify right side
    273,757.16x = 35,637,577,426.29
  5. Step 5: Solve for x
    x = 35,637,577,426.29/273,757.16
  6. Step 6: Final answer
    x = 130,179.53

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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.