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Finding the Fourth Proportional to 142,940.34, 214,427.07 and 54,260.10

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Solution

The fourth proportional to 142,940.34, 214,427.07 and 54,260.10 is: 81,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,940.34 : 214,427.07 = 54,260.10 : x
  2. Step 2: Convert to fraction form
    142,940.34/214,427.07 = 54,260.10/x
  3. Step 3: Cross multiply
    142,940.34x = 214,427.07 × 54,260.10
  4. Step 4: Simplify right side
    142,940.34x = 11,634,834,260.91
  5. Step 5: Solve for x
    x = 11,634,834,260.91/142,940.34
  6. Step 6: Final answer
    x = 81,396.44

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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.