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Finding the Fourth Proportional to 213,173.33, 294,177.75 and 117,680

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Solution

The fourth proportional to 213,173.33, 294,177.75 and 117,680 is: 162,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,173.33 : 294,177.75 = 117,680 : x
  2. Step 2: Convert to fraction form
    213,173.33/294,177.75 = 117,680/x
  3. Step 3: Cross multiply
    213,173.33x = 294,177.75 × 117,680
  4. Step 4: Simplify right side
    213,173.33x = 34,618,837,620
  5. Step 5: Solve for x
    x = 34,618,837,620/213,173.33
  6. Step 6: Final answer
    x = 162,397.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.