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Finding the Fourth Proportional to 212,464.62, 293,202.59 and 116,972.91

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Solution

The fourth proportional to 212,464.62, 293,202.59 and 116,972.91 is: 161,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,464.62 : 293,202.59 = 116,972.91 : x
  2. Step 2: Convert to fraction form
    212,464.62/293,202.59 = 116,972.91/x
  3. Step 3: Cross multiply
    212,464.62x = 293,202.59 × 116,972.91
  4. Step 4: Simplify right side
    212,464.62x = 34,296,759,586.97
  5. Step 5: Solve for x
    x = 34,296,759,586.97/212,464.62
  6. Step 6: Final answer
    x = 161,423.39

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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.