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Finding the Fourth Proportional to 213,274.26, 294,317.49 and 117,780.54

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Solution

The fourth proportional to 213,274.26, 294,317.49 and 117,780.54 is: 162,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,274.26 : 294,317.49 = 117,780.54 : x
  2. Step 2: Convert to fraction form
    213,274.26/294,317.49 = 117,780.54/x
  3. Step 3: Cross multiply
    213,274.26x = 294,317.49 × 117,780.54
  4. Step 4: Simplify right side
    213,274.26x = 34,664,872,903.64
  5. Step 5: Solve for x
    x = 34,664,872,903.64/213,274.26
  6. Step 6: Final answer
    x = 162,536.60

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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.