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Finding the Fourth Proportional to 212,794.90, 293,657.60 and 117,299.54

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Solution

The fourth proportional to 212,794.90, 293,657.60 and 117,299.54 is: 161,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,794.90 : 293,657.60 = 117,299.54 : x
  2. Step 2: Convert to fraction form
    212,794.90/293,657.60 = 117,299.54/x
  3. Step 3: Cross multiply
    212,794.90x = 293,657.60 × 117,299.54
  4. Step 4: Simplify right side
    212,794.90x = 34,445,902,424.90
  5. Step 5: Solve for x
    x = 34,445,902,424.90/212,794.90
  6. Step 6: Final answer
    x = 161,873.72

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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.