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Finding the Fourth Proportional to 209,264.82, 313,794.27 and 67,076.76

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Solution

The fourth proportional to 209,264.82, 313,794.27 and 67,076.76 is: 100,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,264.82 : 313,794.27 = 67,076.76 : x
  2. Step 2: Convert to fraction form
    209,264.82/313,794.27 = 67,076.76/x
  3. Step 3: Cross multiply
    209,264.82x = 313,794.27 × 67,076.76
  4. Step 4: Simplify right side
    209,264.82x = 21,048,302,938.17
  5. Step 5: Solve for x
    x = 21,048,302,938.17/209,264.82
  6. Step 6: Final answer
    x = 100,582.14

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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.