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Finding the Fourth Proportional to 209,223, 313,657.60 and 90,805.32

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Solution

The fourth proportional to 209,223, 313,657.60 and 90,805.32 is: 136,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223 : 313,657.60 = 90,805.32 : x
  2. Step 2: Convert to fraction form
    209,223/313,657.60 = 90,805.32/x
  3. Step 3: Cross multiply
    209,223x = 313,657.60 × 90,805.32
  4. Step 4: Simplify right side
    209,223x = 28,481,778,738.43
  5. Step 5: Solve for x
    x = 28,481,778,738.43/209,223
  6. Step 6: Final answer
    x = 136,131.20

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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.