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Finding the Fourth Proportional to 101,546.36, 140,138.34 and 56,224.34

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Solution

The fourth proportional to 101,546.36, 140,138.34 and 56,224.34 is: 77,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,546.36 : 140,138.34 = 56,224.34 : x
  2. Step 2: Convert to fraction form
    101,546.36/140,138.34 = 56,224.34/x
  3. Step 3: Cross multiply
    101,546.36x = 140,138.34 × 56,224.34
  4. Step 4: Simplify right side
    101,546.36x = 7,879,184,974.50
  5. Step 5: Solve for x
    x = 7,879,184,974.50/101,546.36
  6. Step 6: Final answer
    x = 77,592.00

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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.