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Finding the Fourth Proportional to 100,346.28, 138,211.80 and 74,770.67

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Solution

The fourth proportional to 100,346.28, 138,211.80 and 74,770.67 is: 102,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,346.28 : 138,211.80 = 74,770.67 : x
  2. Step 2: Convert to fraction form
    100,346.28/138,211.80 = 74,770.67/x
  3. Step 3: Cross multiply
    100,346.28x = 138,211.80 × 74,770.67
  4. Step 4: Simplify right side
    100,346.28x = 10,334,188,196.85
  5. Step 5: Solve for x
    x = 10,334,188,196.85/100,346.28
  6. Step 6: Final answer
    x = 102,985.26

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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.