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Finding the Fourth Proportional to 212,690.68, 293,526.24 and 117,197.36

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Solution

The fourth proportional to 212,690.68, 293,526.24 and 117,197.36 is: 161,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,690.68 : 293,526.24 = 117,197.36 : x
  2. Step 2: Convert to fraction form
    212,690.68/293,526.24 = 117,197.36/x
  3. Step 3: Cross multiply
    212,690.68x = 293,526.24 × 117,197.36
  4. Step 4: Simplify right side
    212,690.68x = 34,400,500,418.73
  5. Step 5: Solve for x
    x = 34,400,500,418.73/212,690.68
  6. Step 6: Final answer
    x = 161,739.58

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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.