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Finding the Fourth Proportional to 212,429.80, 293,153.04 and 116,936

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Solution

The fourth proportional to 212,429.80, 293,153.04 and 116,936 is: 161,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,429.80 : 293,153.04 = 116,936 : x
  2. Step 2: Convert to fraction form
    212,429.80/293,153.04 = 116,936/x
  3. Step 3: Cross multiply
    212,429.80x = 293,153.04 × 116,936
  4. Step 4: Simplify right side
    212,429.80x = 34,280,143,885.44
  5. Step 5: Solve for x
    x = 34,280,143,885.44/212,429.80
  6. Step 6: Final answer
    x = 161,371.63

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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.