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Finding the Fourth Proportional to 212,692.56, 293,528.79 and 117,199.23

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Solution

The fourth proportional to 212,692.56, 293,528.79 and 117,199.23 is: 161,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,692.56 : 293,528.79 = 117,199.23 : x
  2. Step 2: Convert to fraction form
    212,692.56/293,528.79 = 117,199.23/x
  3. Step 3: Cross multiply
    212,692.56x = 293,528.79 × 117,199.23
  4. Step 4: Simplify right side
    212,692.56x = 34,401,348,170.83
  5. Step 5: Solve for x
    x = 34,401,348,170.83/212,692.56
  6. Step 6: Final answer
    x = 161,742.13

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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.