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Finding the Fourth Proportional to 217,813.12, 326,948.64 and 193,012

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Solution

The fourth proportional to 217,813.12, 326,948.64 and 193,012 is: 289,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,813.12 : 326,948.64 = 193,012 : x
  2. Step 2: Convert to fraction form
    217,813.12/326,948.64 = 193,012/x
  3. Step 3: Cross multiply
    217,813.12x = 326,948.64 × 193,012
  4. Step 4: Simplify right side
    217,813.12x = 63,105,010,903.68
  5. Step 5: Solve for x
    x = 63,105,010,903.68/217,813.12
  6. Step 6: Final answer
    x = 289,720.89

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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.