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Finding the Fourth Proportional to 212,788.86, 293,666.31 and 117,314.22

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Solution

The fourth proportional to 212,788.86, 293,666.31 and 117,314.22 is: 161,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,788.86 : 293,666.31 = 117,314.22 : x
  2. Step 2: Convert to fraction form
    212,788.86/293,666.31 = 117,314.22/x
  3. Step 3: Cross multiply
    212,788.86x = 293,666.31 × 117,314.22
  4. Step 4: Simplify right side
    212,788.86x = 34,451,234,097.93
  5. Step 5: Solve for x
    x = 34,451,234,097.93/212,788.86
  6. Step 6: Final answer
    x = 161,903.37

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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.