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Finding the Fourth Proportional to 212,350.94, 293,044.34 and 116,857.63

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Solution

The fourth proportional to 212,350.94, 293,044.34 and 116,857.63 is: 161,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,350.94 : 293,044.34 = 116,857.63 : x
  2. Step 2: Convert to fraction form
    212,350.94/293,044.34 = 116,857.63/x
  3. Step 3: Cross multiply
    212,350.94x = 293,044.34 × 116,857.63
  4. Step 4: Simplify right side
    212,350.94x = 34,244,467,674.05
  5. Step 5: Solve for x
    x = 34,244,467,674.05/212,350.94
  6. Step 6: Final answer
    x = 161,263.56

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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.