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Finding the Fourth Proportional to 273,734.21, 410,615.90 and 86,760.29

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Solution

The fourth proportional to 273,734.21, 410,615.90 and 86,760.29 is: 130,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,734.21 : 410,615.90 = 86,760.29 : x
  2. Step 2: Convert to fraction form
    273,734.21/410,615.90 = 86,760.29/x
  3. Step 3: Cross multiply
    273,734.21x = 410,615.90 × 86,760.29
  4. Step 4: Simplify right side
    273,734.21x = 35,625,154,128.81
  5. Step 5: Solve for x
    x = 35,625,154,128.81/273,734.21
  6. Step 6: Final answer
    x = 130,145.06

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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.