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Finding the Fourth Proportional to 212,352.90, 293,039.55 and 116,857.14

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Solution

The fourth proportional to 212,352.90, 293,039.55 and 116,857.14 is: 161,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,352.90 : 293,039.55 = 116,857.14 : x
  2. Step 2: Convert to fraction form
    212,352.90/293,039.55 = 116,857.14/x
  3. Step 3: Cross multiply
    212,352.90x = 293,039.55 × 116,857.14
  4. Step 4: Simplify right side
    212,352.90x = 34,243,763,719.89
  5. Step 5: Solve for x
    x = 34,243,763,719.89/212,352.90
  6. Step 6: Final answer
    x = 161,258.75

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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.