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Finding the Fourth Proportional to 209,796.75, 289,519.52 and 114,303.42

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Solution

The fourth proportional to 209,796.75, 289,519.52 and 114,303.42 is: 157,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,796.75 : 289,519.52 = 114,303.42 : x
  2. Step 2: Convert to fraction form
    209,796.75/289,519.52 = 114,303.42/x
  3. Step 3: Cross multiply
    209,796.75x = 289,519.52 × 114,303.42
  4. Step 4: Simplify right side
    209,796.75x = 33,093,070,721.24
  5. Step 5: Solve for x
    x = 33,093,070,721.24/209,796.75
  6. Step 6: Final answer
    x = 157,738.72

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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.