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Finding the Fourth Proportional to 273,534.30, 410,260.41 and 86,521.50

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Solution

The fourth proportional to 273,534.30, 410,260.41 and 86,521.50 is: 129,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,534.30 : 410,260.41 = 86,521.50 : x
  2. Step 2: Convert to fraction form
    273,534.30/410,260.41 = 86,521.50/x
  3. Step 3: Cross multiply
    273,534.30x = 410,260.41 × 86,521.50
  4. Step 4: Simplify right side
    273,534.30x = 35,496,346,063.82
  5. Step 5: Solve for x
    x = 35,496,346,063.82/273,534.30
  6. Step 6: Final answer
    x = 129,769.27

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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.