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Finding the Fourth Proportional to 142,863.84, 214,312.32 and 54,183.60

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Solution

The fourth proportional to 142,863.84, 214,312.32 and 54,183.60 is: 81,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,863.84 : 214,312.32 = 54,183.60 : x
  2. Step 2: Convert to fraction form
    142,863.84/214,312.32 = 54,183.60/x
  3. Step 3: Cross multiply
    142,863.84x = 214,312.32 × 54,183.60
  4. Step 4: Simplify right side
    142,863.84x = 11,612,213,021.95
  5. Step 5: Solve for x
    x = 11,612,213,021.95/142,863.84
  6. Step 6: Final answer
    x = 81,281.68

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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.