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Finding the Fourth Proportional to 264,711.76, 397,116.84 and 87,231.24

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Solution

The fourth proportional to 264,711.76, 397,116.84 and 87,231.24 is: 130,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,711.76 : 397,116.84 = 87,231.24 : x
  2. Step 2: Convert to fraction form
    264,711.76/397,116.84 = 87,231.24/x
  3. Step 3: Cross multiply
    264,711.76x = 397,116.84 × 87,231.24
  4. Step 4: Simplify right side
    264,711.76x = 34,640,994,378.08
  5. Step 5: Solve for x
    x = 34,640,994,378.08/264,711.76
  6. Step 6: Final answer
    x = 130,863.07

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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.