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Finding the Fourth Proportional to 212,361.45, 293,052.91 and 120,497.46

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Solution

The fourth proportional to 212,361.45, 293,052.91 and 120,497.46 is: 166,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,361.45 : 293,052.91 = 120,497.46 : x
  2. Step 2: Convert to fraction form
    212,361.45/293,052.91 = 120,497.46/x
  3. Step 3: Cross multiply
    212,361.45x = 293,052.91 × 120,497.46
  4. Step 4: Simplify right side
    212,361.45x = 35,312,130,266.73
  5. Step 5: Solve for x
    x = 35,312,130,266.73/212,361.45
  6. Step 6: Final answer
    x = 166,283.15

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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.