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Finding the Fourth Proportional to 101,954.22, 140,692.05 and 56,635.08

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Solution

The fourth proportional to 101,954.22, 140,692.05 and 56,635.08 is: 78,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954.22 : 140,692.05 = 56,635.08 : x
  2. Step 2: Convert to fraction form
    101,954.22/140,692.05 = 56,635.08/x
  3. Step 3: Cross multiply
    101,954.22x = 140,692.05 × 56,635.08
  4. Step 4: Simplify right side
    101,954.22x = 7,968,105,507.11
  5. Step 5: Solve for x
    x = 7,968,105,507.11/101,954.22
  6. Step 6: Final answer
    x = 78,153.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.