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Finding the Fourth Proportional to 213,478.09, 320,269.68 and 150,421.36

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Solution

The fourth proportional to 213,478.09, 320,269.68 and 150,421.36 is: 225,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,478.09 : 320,269.68 = 150,421.36 : x
  2. Step 2: Convert to fraction form
    213,478.09/320,269.68 = 150,421.36/x
  3. Step 3: Cross multiply
    213,478.09x = 320,269.68 × 150,421.36
  4. Step 4: Simplify right side
    213,478.09x = 48,175,400,832.36
  5. Step 5: Solve for x
    x = 48,175,400,832.36/213,478.09
  6. Step 6: Final answer
    x = 225,669.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.