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Finding the Fourth Proportional to 273,535.30, 410,261.91 and 86,522.50

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Solution

The fourth proportional to 273,535.30, 410,261.91 and 86,522.50 is: 129,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,535.30 : 410,261.91 = 86,522.50 : x
  2. Step 2: Convert to fraction form
    273,535.30/410,261.91 = 86,522.50/x
  3. Step 3: Cross multiply
    273,535.30x = 410,261.91 × 86,522.50
  4. Step 4: Simplify right side
    273,535.30x = 35,496,886,107.98
  5. Step 5: Solve for x
    x = 35,496,886,107.98/273,535.30
  6. Step 6: Final answer
    x = 129,770.77

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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.