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Finding the Fourth Proportional to 212,686.30, 293,504.74 and 120,804.96

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Solution

The fourth proportional to 212,686.30, 293,504.74 and 120,804.96 is: 166,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,686.30 : 293,504.74 = 120,804.96 : x
  2. Step 2: Convert to fraction form
    212,686.30/293,504.74 = 120,804.96/x
  3. Step 3: Cross multiply
    212,686.30x = 293,504.74 × 120,804.96
  4. Step 4: Simplify right side
    212,686.30x = 35,456,828,375.51
  5. Step 5: Solve for x
    x = 35,456,828,375.51/212,686.30
  6. Step 6: Final answer
    x = 166,709.51

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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.