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Finding the Fourth Proportional to 209,210.99, 313,798.70 and 82,816.86

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Solution

The fourth proportional to 209,210.99, 313,798.70 and 82,816.86 is: 124,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,210.99 : 313,798.70 = 82,816.86 : x
  2. Step 2: Convert to fraction form
    209,210.99/313,798.70 = 82,816.86/x
  3. Step 3: Cross multiply
    209,210.99x = 313,798.70 × 82,816.86
  4. Step 4: Simplify right side
    209,210.99x = 25,987,824,389.87
  5. Step 5: Solve for x
    x = 25,987,824,389.87/209,210.99
  6. Step 6: Final answer
    x = 124,218.26

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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.