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Finding the Fourth Proportional to 233,954.44, 351,069.90 and 86,314.12

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Solution

The fourth proportional to 233,954.44, 351,069.90 and 86,314.12 is: 129,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,954.44 : 351,069.90 = 86,314.12 : x
  2. Step 2: Convert to fraction form
    233,954.44/351,069.90 = 86,314.12/x
  3. Step 3: Cross multiply
    233,954.44x = 351,069.90 × 86,314.12
  4. Step 4: Simplify right side
    233,954.44x = 30,302,289,476.99
  5. Step 5: Solve for x
    x = 30,302,289,476.99/233,954.44
  6. Step 6: Final answer
    x = 129,522.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.