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Finding the Fourth Proportional to 213,083.44, 319,523.04 and 100,670.08

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Solution

The fourth proportional to 213,083.44, 319,523.04 and 100,670.08 is: 150,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,083.44 : 319,523.04 = 100,670.08 : x
  2. Step 2: Convert to fraction form
    213,083.44/319,523.04 = 100,670.08/x
  3. Step 3: Cross multiply
    213,083.44x = 319,523.04 × 100,670.08
  4. Step 4: Simplify right side
    213,083.44x = 32,166,409,998.64
  5. Step 5: Solve for x
    x = 32,166,409,998.64/213,083.44
  6. Step 6: Final answer
    x = 150,956.87

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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.