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Finding the Fourth Proportional to 209,707.74, 314,696.94 and 76,576.85

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Solution

The fourth proportional to 209,707.74, 314,696.94 and 76,576.85 is: 114,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707.74 : 314,696.94 = 76,576.85 : x
  2. Step 2: Convert to fraction form
    209,707.74/314,696.94 = 76,576.85/x
  3. Step 3: Cross multiply
    209,707.74x = 314,696.94 × 76,576.85
  4. Step 4: Simplify right side
    209,707.74x = 24,098,500,369.84
  5. Step 5: Solve for x
    x = 24,098,500,369.84/209,707.74
  6. Step 6: Final answer
    x = 114,914.69

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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.