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Finding the Fourth Proportional to 213,175.20, 294,174 and 117,681.60

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Solution

The fourth proportional to 213,175.20, 294,174 and 117,681.60 is: 162,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,175.20 : 294,174 = 117,681.60 : x
  2. Step 2: Convert to fraction form
    213,175.20/294,174 = 117,681.60/x
  3. Step 3: Cross multiply
    213,175.20x = 294,174 × 117,681.60
  4. Step 4: Simplify right side
    213,175.20x = 34,618,866,998.40
  5. Step 5: Solve for x
    x = 34,618,866,998.40/213,175.20
  6. Step 6: Final answer
    x = 162,396.32

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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.