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Finding the Fourth Proportional to 100,492.44, 138,679.80 and 55,170.72

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Solution

The fourth proportional to 100,492.44, 138,679.80 and 55,170.72 is: 76,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,492.44 : 138,679.80 = 55,170.72 : x
  2. Step 2: Convert to fraction form
    100,492.44/138,679.80 = 55,170.72/x
  3. Step 3: Cross multiply
    100,492.44x = 138,679.80 × 55,170.72
  4. Step 4: Simplify right side
    100,492.44x = 7,651,064,415.46
  5. Step 5: Solve for x
    x = 7,651,064,415.46/100,492.44
  6. Step 6: Final answer
    x = 76,135.72

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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.