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Finding the Fourth Proportional to 216,431.90, 324,647.85 and 141,782.30

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Solution

The fourth proportional to 216,431.90, 324,647.85 and 141,782.30 is: 212,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,431.90 : 324,647.85 = 141,782.30 : x
  2. Step 2: Convert to fraction form
    216,431.90/324,647.85 = 141,782.30/x
  3. Step 3: Cross multiply
    216,431.90x = 324,647.85 × 141,782.30
  4. Step 4: Simplify right side
    216,431.90x = 46,029,318,863.06
  5. Step 5: Solve for x
    x = 46,029,318,863.06/216,431.90
  6. Step 6: Final answer
    x = 212,673.45

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