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Finding the Fourth Proportional to 212,971.74, 293,878.31 and 117,478.44

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Solution

The fourth proportional to 212,971.74, 293,878.31 and 117,478.44 is: 162,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,971.74 : 293,878.31 = 117,478.44 : x
  2. Step 2: Convert to fraction form
    212,971.74/293,878.31 = 117,478.44/x
  3. Step 3: Cross multiply
    212,971.74x = 293,878.31 × 117,478.44
  4. Step 4: Simplify right side
    212,971.74x = 34,524,366,437.03
  5. Step 5: Solve for x
    x = 34,524,366,437.03/212,971.74
  6. Step 6: Final answer
    x = 162,107.73

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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.