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Finding the Fourth Proportional to 212,794.86, 293,651.01 and 117,301.53

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Solution

The fourth proportional to 212,794.86, 293,651.01 and 117,301.53 is: 161,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,794.86 : 293,651.01 = 117,301.53 : x
  2. Step 2: Convert to fraction form
    212,794.86/293,651.01 = 117,301.53/x
  3. Step 3: Cross multiply
    212,794.86x = 293,651.01 × 117,301.53
  4. Step 4: Simplify right side
    212,794.86x = 34,445,712,759.05
  5. Step 5: Solve for x
    x = 34,445,712,759.05/212,794.86
  6. Step 6: Final answer
    x = 161,872.86

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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.