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Finding the Fourth Proportional to 213,322.34, 294,378.17 and 116,524.64

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Solution

The fourth proportional to 213,322.34, 294,378.17 and 116,524.64 is: 160,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,322.34 : 294,378.17 = 116,524.64 : x
  2. Step 2: Convert to fraction form
    213,322.34/294,378.17 = 116,524.64/x
  3. Step 3: Cross multiply
    213,322.34x = 294,378.17 × 116,524.64
  4. Step 4: Simplify right side
    213,322.34x = 34,302,310,436.43
  5. Step 5: Solve for x
    x = 34,302,310,436.43/213,322.34
  6. Step 6: Final answer
    x = 160,800.36

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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.