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Finding the Fourth Proportional to 212,567.14, 293,464.65 and 141,044.14

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Solution

The fourth proportional to 212,567.14, 293,464.65 and 141,044.14 is: 194,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,567.14 : 293,464.65 = 141,044.14 : x
  2. Step 2: Convert to fraction form
    212,567.14/293,464.65 = 141,044.14/x
  3. Step 3: Cross multiply
    212,567.14x = 293,464.65 × 141,044.14
  4. Step 4: Simplify right side
    212,567.14x = 41,391,469,179.65
  5. Step 5: Solve for x
    x = 41,391,469,179.65/212,567.14
  6. Step 6: Final answer
    x = 194,721.86

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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.