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Finding the Fourth Proportional to 212,720.15, 293,559.96 and 117,233

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Solution

The fourth proportional to 212,720.15, 293,559.96 and 117,233 is: 161,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,720.15 : 293,559.96 = 117,233 : x
  2. Step 2: Convert to fraction form
    212,720.15/293,559.96 = 117,233/x
  3. Step 3: Cross multiply
    212,720.15x = 293,559.96 × 117,233
  4. Step 4: Simplify right side
    212,720.15x = 34,414,914,790.68
  5. Step 5: Solve for x
    x = 34,414,914,790.68/212,720.15
  6. Step 6: Final answer
    x = 161,784.93

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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.