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Finding the Fourth Proportional to 273,351.34, 410,024.58 and 86,362.84

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Solution

The fourth proportional to 273,351.34, 410,024.58 and 86,362.84 is: 129,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,351.34 : 410,024.58 = 86,362.84 : x
  2. Step 2: Convert to fraction form
    273,351.34/410,024.58 = 86,362.84/x
  3. Step 3: Cross multiply
    273,351.34x = 410,024.58 × 86,362.84
  4. Step 4: Simplify right side
    273,351.34x = 35,410,887,198.61
  5. Step 5: Solve for x
    x = 35,410,887,198.61/273,351.34
  6. Step 6: Final answer
    x = 129,543.49

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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.