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Finding the Fourth Proportional to 212,796.64, 293,577.12 and 122,119.84

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Solution

The fourth proportional to 212,796.64, 293,577.12 and 122,119.84 is: 168,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,796.64 : 293,577.12 = 122,119.84 : x
  2. Step 2: Convert to fraction form
    212,796.64/293,577.12 = 122,119.84/x
  3. Step 3: Cross multiply
    212,796.64x = 293,577.12 × 122,119.84
  4. Step 4: Simplify right side
    212,796.64x = 35,851,590,922.06
  5. Step 5: Solve for x
    x = 35,851,590,922.06/212,796.64
  6. Step 6: Final answer
    x = 168,478.18

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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.