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Finding the Fourth Proportional to 255,682.26, 383,388.30 and 113,465.76

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Solution

The fourth proportional to 255,682.26, 383,388.30 and 113,465.76 is: 170,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,682.26 : 383,388.30 = 113,465.76 : x
  2. Step 2: Convert to fraction form
    255,682.26/383,388.30 = 113,465.76/x
  3. Step 3: Cross multiply
    255,682.26x = 383,388.30 × 113,465.76
  4. Step 4: Simplify right side
    255,682.26x = 43,501,444,834.61
  5. Step 5: Solve for x
    x = 43,501,444,834.61/255,682.26
  6. Step 6: Final answer
    x = 170,138.69

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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.