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Finding the Fourth Proportional to 212,540.75, 293,301.78 and 117,048.23

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Solution

The fourth proportional to 212,540.75, 293,301.78 and 117,048.23 is: 161,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,540.75 : 293,301.78 = 117,048.23 : x
  2. Step 2: Convert to fraction form
    212,540.75/293,301.78 = 117,048.23/x
  3. Step 3: Cross multiply
    212,540.75x = 293,301.78 × 117,048.23
  4. Step 4: Simplify right side
    212,540.75x = 34,330,454,204.85
  5. Step 5: Solve for x
    x = 34,330,454,204.85/212,540.75
  6. Step 6: Final answer
    x = 161,524.10

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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.