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Finding the Fourth Proportional to 273,537.30, 410,264.91 and 86,524.50

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Solution

The fourth proportional to 273,537.30, 410,264.91 and 86,524.50 is: 129,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,537.30 : 410,264.91 = 86,524.50 : x
  2. Step 2: Convert to fraction form
    273,537.30/410,264.91 = 86,524.50/x
  3. Step 3: Cross multiply
    273,537.30x = 410,264.91 × 86,524.50
  4. Step 4: Simplify right side
    273,537.30x = 35,497,966,205.30
  5. Step 5: Solve for x
    x = 35,497,966,205.30/273,537.30
  6. Step 6: Final answer
    x = 129,773.77

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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.