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Finding the Fourth Proportional to 212,189.41, 293,592.44 and 185,022.14

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Solution

The fourth proportional to 212,189.41, 293,592.44 and 185,022.14 is: 256,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,189.41 : 293,592.44 = 185,022.14 : x
  2. Step 2: Convert to fraction form
    212,189.41/293,592.44 = 185,022.14/x
  3. Step 3: Cross multiply
    212,189.41x = 293,592.44 × 185,022.14
  4. Step 4: Simplify right side
    212,189.41x = 54,321,101,536.62
  5. Step 5: Solve for x
    x = 54,321,101,536.62/212,189.41
  6. Step 6: Final answer
    x = 256,002.89

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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.