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Finding the Fourth Proportional to 213,175.33, 294,182.90 and 117,682.81

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Solution

The fourth proportional to 213,175.33, 294,182.90 and 117,682.81 is: 162,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,175.33 : 294,182.90 = 117,682.81 : x
  2. Step 2: Convert to fraction form
    213,175.33/294,182.90 = 117,682.81/x
  3. Step 3: Cross multiply
    213,175.33x = 294,182.90 × 117,682.81
  4. Step 4: Simplify right side
    213,175.33x = 34,620,270,325.95
  5. Step 5: Solve for x
    x = 34,620,270,325.95/213,175.33
  6. Step 6: Final answer
    x = 162,402.80

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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.