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Finding the Fourth Proportional to 176,591.46, 264,881.24 and 76,751.67

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Solution

The fourth proportional to 176,591.46, 264,881.24 and 76,751.67 is: 115,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,591.46 : 264,881.24 = 76,751.67 : x
  2. Step 2: Convert to fraction form
    176,591.46/264,881.24 = 76,751.67/x
  3. Step 3: Cross multiply
    176,591.46x = 264,881.24 × 76,751.67
  4. Step 4: Simplify right side
    176,591.46x = 20,330,077,137.91
  5. Step 5: Solve for x
    x = 20,330,077,137.91/176,591.46
  6. Step 6: Final answer
    x = 115,124.92

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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.