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Finding the Fourth Proportional to 209,518.44, 288,934.44 and 140,763.24

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Solution

The fourth proportional to 209,518.44, 288,934.44 and 140,763.24 is: 194,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518.44 : 288,934.44 = 140,763.24 : x
  2. Step 2: Convert to fraction form
    209,518.44/288,934.44 = 140,763.24/x
  3. Step 3: Cross multiply
    209,518.44x = 288,934.44 × 140,763.24
  4. Step 4: Simplify right side
    209,518.44x = 40,671,347,921.99
  5. Step 5: Solve for x
    x = 40,671,347,921.99/209,518.44
  6. Step 6: Final answer
    x = 194,118.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.