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Finding the Fourth Proportional to 212,690.56, 293,510.58 and 120,809.20

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Solution

The fourth proportional to 212,690.56, 293,510.58 and 120,809.20 is: 166,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,690.56 : 293,510.58 = 120,809.20 : x
  2. Step 2: Convert to fraction form
    212,690.56/293,510.58 = 120,809.20/x
  3. Step 3: Cross multiply
    212,690.56x = 293,510.58 × 120,809.20
  4. Step 4: Simplify right side
    212,690.56x = 35,458,778,361.34
  5. Step 5: Solve for x
    x = 35,458,778,361.34/212,690.56
  6. Step 6: Final answer
    x = 166,715.34

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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.