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Finding the Fourth Proportional to 213,225.44, 319,735.92 and 100,811.84

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Solution

The fourth proportional to 213,225.44, 319,735.92 and 100,811.84 is: 151,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,225.44 : 319,735.92 = 100,811.84 : x
  2. Step 2: Convert to fraction form
    213,225.44/319,735.92 = 100,811.84/x
  3. Step 3: Cross multiply
    213,225.44x = 319,735.92 × 100,811.84
  4. Step 4: Simplify right side
    213,225.44x = 32,233,166,409.29
  5. Step 5: Solve for x
    x = 32,233,166,409.29/213,225.44
  6. Step 6: Final answer
    x = 151,169.42

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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.