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Finding the Fourth Proportional to 213,825.40, 320,046.90 and 166,823.80

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Solution

The fourth proportional to 213,825.40, 320,046.90 and 166,823.80 is: 249,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,825.40 : 320,046.90 = 166,823.80 : x
  2. Step 2: Convert to fraction form
    213,825.40/320,046.90 = 166,823.80/x
  3. Step 3: Cross multiply
    213,825.40x = 320,046.90 × 166,823.80
  4. Step 4: Simplify right side
    213,825.40x = 53,391,440,036.22
  5. Step 5: Solve for x
    x = 53,391,440,036.22/213,825.40
  6. Step 6: Final answer
    x = 249,696.43

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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.