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Finding the Fourth Proportional to 83,458.68, 125,219.98 and 50,202.30

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Solution

The fourth proportional to 83,458.68, 125,219.98 and 50,202.30 is: 75,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,458.68 : 125,219.98 = 50,202.30 : x
  2. Step 2: Convert to fraction form
    83,458.68/125,219.98 = 50,202.30/x
  3. Step 3: Cross multiply
    83,458.68x = 125,219.98 × 50,202.30
  4. Step 4: Simplify right side
    83,458.68x = 6,286,331,001.95
  5. Step 5: Solve for x
    x = 6,286,331,001.95/83,458.68
  6. Step 6: Final answer
    x = 75,322.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.