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Finding the Fourth Proportional to 209,214.70, 313,822.05 and 182,970.70

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Solution

The fourth proportional to 209,214.70, 313,822.05 and 182,970.70 is: 274,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.70 : 313,822.05 = 182,970.70 : x
  2. Step 2: Convert to fraction form
    209,214.70/313,822.05 = 182,970.70/x
  3. Step 3: Cross multiply
    209,214.70x = 313,822.05 × 182,970.70
  4. Step 4: Simplify right side
    209,214.70x = 57,420,240,163.94
  5. Step 5: Solve for x
    x = 57,420,240,163.94/209,214.70
  6. Step 6: Final answer
    x = 274,456.05

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1.5x scale

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.