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Finding the Fourth Proportional to 212,817.34, 293,689.90 and 117,327.45

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Solution

The fourth proportional to 212,817.34, 293,689.90 and 117,327.45 is: 161,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,817.34 : 293,689.90 = 117,327.45 : x
  2. Step 2: Convert to fraction form
    212,817.34/293,689.90 = 117,327.45/x
  3. Step 3: Cross multiply
    212,817.34x = 293,689.90 × 117,327.45
  4. Step 4: Simplify right side
    212,817.34x = 34,457,888,305.75
  5. Step 5: Solve for x
    x = 34,457,888,305.75/212,817.34
  6. Step 6: Final answer
    x = 161,912.97

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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.