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Finding the Fourth Proportional to 255,358.44, 383,023.24 and 113,162.76

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Solution

The fourth proportional to 255,358.44, 383,023.24 and 113,162.76 is: 169,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,358.44 : 383,023.24 = 113,162.76 : x
  2. Step 2: Convert to fraction form
    255,358.44/383,023.24 = 113,162.76/x
  3. Step 3: Cross multiply
    255,358.44x = 383,023.24 × 113,162.76
  4. Step 4: Simplify right side
    255,358.44x = 43,343,966,982.54
  5. Step 5: Solve for x
    x = 43,343,966,982.54/255,358.44
  6. Step 6: Final answer
    x = 169,737.75

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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.