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Finding the Fourth Proportional to 212,814.45, 293,685.99 and 117,324.63

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Solution

The fourth proportional to 212,814.45, 293,685.99 and 117,324.63 is: 161,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,814.45 : 293,685.99 = 117,324.63 : x
  2. Step 2: Convert to fraction form
    212,814.45/293,685.99 = 117,324.63/x
  3. Step 3: Cross multiply
    212,814.45x = 293,685.99 × 117,324.63
  4. Step 4: Simplify right side
    212,814.45x = 34,456,600,112.93
  5. Step 5: Solve for x
    x = 34,456,600,112.93/212,814.45
  6. Step 6: Final answer
    x = 161,909.12

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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.