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Finding the Fourth Proportional to 276,383.26, 414,364.20 and 86,734.24

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Solution

The fourth proportional to 276,383.26, 414,364.20 and 86,734.24 is: 130,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,383.26 : 414,364.20 = 86,734.24 : x
  2. Step 2: Convert to fraction form
    276,383.26/414,364.20 = 86,734.24/x
  3. Step 3: Cross multiply
    276,383.26x = 414,364.20 × 86,734.24
  4. Step 4: Simplify right side
    276,383.26x = 35,939,563,970.21
  5. Step 5: Solve for x
    x = 35,939,563,970.21/276,383.26
  6. Step 6: Final answer
    x = 130,035.24

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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.