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Finding the Fourth Proportional to 212,994.72, 293,932.31 and 116,198.58

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Solution

The fourth proportional to 212,994.72, 293,932.31 and 116,198.58 is: 160,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,994.72 : 293,932.31 = 116,198.58 : x
  2. Step 2: Convert to fraction form
    212,994.72/293,932.31 = 116,198.58/x
  3. Step 3: Cross multiply
    212,994.72x = 293,932.31 × 116,198.58
  4. Step 4: Simplify right side
    212,994.72x = 34,154,515,790.63
  5. Step 5: Solve for x
    x = 34,154,515,790.63/212,994.72
  6. Step 6: Final answer
    x = 160,353.82

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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.