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Finding the Fourth Proportional to 100,692.63, 138,956.34 and 55,373.55

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Solution

The fourth proportional to 100,692.63, 138,956.34 and 55,373.55 is: 76,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,692.63 : 138,956.34 = 55,373.55 : x
  2. Step 2: Convert to fraction form
    100,692.63/138,956.34 = 55,373.55/x
  3. Step 3: Cross multiply
    100,692.63x = 138,956.34 × 55,373.55
  4. Step 4: Simplify right side
    100,692.63x = 7,694,505,840.81
  5. Step 5: Solve for x
    x = 7,694,505,840.81/100,692.63
  6. Step 6: Final answer
    x = 76,415.78

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1.5x scale

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.