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Finding the Fourth Proportional to 208,113.60, 312,138.72 and 67,872

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Solution

The fourth proportional to 208,113.60, 312,138.72 and 67,872 is: 101,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,113.60 : 312,138.72 = 67,872 : x
  2. Step 2: Convert to fraction form
    208,113.60/312,138.72 = 67,872/x
  3. Step 3: Cross multiply
    208,113.60x = 312,138.72 × 67,872
  4. Step 4: Simplify right side
    208,113.60x = 21,185,479,203.84
  5. Step 5: Solve for x
    x = 21,185,479,203.84/208,113.60
  6. Step 6: Final answer
    x = 101,797.67

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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.