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Finding the Fourth Proportional to 217,269.20, 325,903.80 and 182,277.20

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Solution

The fourth proportional to 217,269.20, 325,903.80 and 182,277.20 is: 273,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,269.20 : 325,903.80 = 182,277.20 : x
  2. Step 2: Convert to fraction form
    217,269.20/325,903.80 = 182,277.20/x
  3. Step 3: Cross multiply
    217,269.20x = 325,903.80 × 182,277.20
  4. Step 4: Simplify right side
    217,269.20x = 59,404,832,133.36
  5. Step 5: Solve for x
    x = 59,404,832,133.36/217,269.20
  6. Step 6: Final answer
    x = 273,415.80

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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.