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Finding the Fourth Proportional to 212,817.81, 293,690.54 and 117,327.93

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Solution

The fourth proportional to 212,817.81, 293,690.54 and 117,327.93 is: 161,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,817.81 : 293,690.54 = 117,327.93 : x
  2. Step 2: Convert to fraction form
    212,817.81/293,690.54 = 117,327.93/x
  3. Step 3: Cross multiply
    212,817.81x = 293,690.54 × 117,327.93
  4. Step 4: Simplify right side
    212,817.81x = 34,458,102,532.14
  5. Step 5: Solve for x
    x = 34,458,102,532.14/212,817.81
  6. Step 6: Final answer
    x = 161,913.62

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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.