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Finding the Fourth Proportional to 176,515.59, 264,847.22 and 76,759.71

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Solution

The fourth proportional to 176,515.59, 264,847.22 and 76,759.71 is: 115,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,515.59 : 264,847.22 = 76,759.71 : x
  2. Step 2: Convert to fraction form
    176,515.59/264,847.22 = 76,759.71/x
  3. Step 3: Cross multiply
    176,515.59x = 264,847.22 × 76,759.71
  4. Step 4: Simplify right side
    176,515.59x = 20,329,595,801.51
  5. Step 5: Solve for x
    x = 20,329,595,801.51/176,515.59
  6. Step 6: Final answer
    x = 115,171.67

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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.