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Finding the Fourth Proportional to 255,901.66, 383,688.26 and 106,245.24

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Solution

The fourth proportional to 255,901.66, 383,688.26 and 106,245.24 is: 159,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,901.66 : 383,688.26 = 106,245.24 : x
  2. Step 2: Convert to fraction form
    255,901.66/383,688.26 = 106,245.24/x
  3. Step 3: Cross multiply
    255,901.66x = 383,688.26 × 106,245.24
  4. Step 4: Simplify right side
    255,901.66x = 40,765,051,268.88
  5. Step 5: Solve for x
    x = 40,765,051,268.88/255,901.66
  6. Step 6: Final answer
    x = 159,299.67

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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.