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Finding the Fourth Proportional to 212,690.70, 293,526.24 and 117,197.37

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Solution

The fourth proportional to 212,690.70, 293,526.24 and 117,197.37 is: 161,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,690.70 : 293,526.24 = 117,197.37 : x
  2. Step 2: Convert to fraction form
    212,690.70/293,526.24 = 117,197.37/x
  3. Step 3: Cross multiply
    212,690.70x = 293,526.24 × 117,197.37
  4. Step 4: Simplify right side
    212,690.70x = 34,400,503,353.99
  5. Step 5: Solve for x
    x = 34,400,503,353.99/212,690.70
  6. Step 6: Final answer
    x = 161,739.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.