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Finding the Fourth Proportional to 209,264.32, 313,793.52 and 67,076.26

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Solution

The fourth proportional to 209,264.32, 313,793.52 and 67,076.26 is: 100,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,264.32 : 313,793.52 = 67,076.26 : x
  2. Step 2: Convert to fraction form
    209,264.32/313,793.52 = 67,076.26/x
  3. Step 3: Cross multiply
    209,264.32x = 313,793.52 × 67,076.26
  4. Step 4: Simplify right side
    209,264.32x = 21,048,095,733.84
  5. Step 5: Solve for x
    x = 21,048,095,733.84/209,264.32
  6. Step 6: Final answer
    x = 100,581.39

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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.