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Finding the Fourth Proportional to 212,857.67, 293,756.82 and 117,364.22

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Solution

The fourth proportional to 212,857.67, 293,756.82 and 117,364.22 is: 161,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,857.67 : 293,756.82 = 117,364.22 : x
  2. Step 2: Convert to fraction form
    212,857.67/293,756.82 = 117,364.22/x
  3. Step 3: Cross multiply
    212,857.67x = 293,756.82 × 117,364.22
  4. Step 4: Simplify right side
    212,857.67x = 34,476,540,048.98
  5. Step 5: Solve for x
    x = 34,476,540,048.98/212,857.67
  6. Step 6: Final answer
    x = 161,969.92

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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.