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Finding the Fourth Proportional to 230,447.58, 317,837.39 and 149,900.84

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Solution

The fourth proportional to 230,447.58, 317,837.39 and 149,900.84 is: 206,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,447.58 : 317,837.39 = 149,900.84 : x
  2. Step 2: Convert to fraction form
    230,447.58/317,837.39 = 149,900.84/x
  3. Step 3: Cross multiply
    230,447.58x = 317,837.39 × 149,900.84
  4. Step 4: Simplify right side
    230,447.58x = 47,644,089,405.72
  5. Step 5: Solve for x
    x = 47,644,089,405.72/230,447.58
  6. Step 6: Final answer
    x = 206,745.89

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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.