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Finding the Fourth Proportional to 213,126.89, 294,094.16 and 117,627.43

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Solution

The fourth proportional to 213,126.89, 294,094.16 and 117,627.43 is: 162,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,126.89 : 294,094.16 = 117,627.43 : x
  2. Step 2: Convert to fraction form
    213,126.89/294,094.16 = 117,627.43/x
  3. Step 3: Cross multiply
    213,126.89x = 294,094.16 × 117,627.43
  4. Step 4: Simplify right side
    213,126.89x = 34,593,540,439.39
  5. Step 5: Solve for x
    x = 34,593,540,439.39/213,126.89
  6. Step 6: Final answer
    x = 162,314.29

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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.