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Finding the Fourth Proportional to 208,419.24, 312,628.05 and 50,648.16

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Solution

The fourth proportional to 208,419.24, 312,628.05 and 50,648.16 is: 75,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,419.24 : 312,628.05 = 50,648.16 : x
  2. Step 2: Convert to fraction form
    208,419.24/312,628.05 = 50,648.16/x
  3. Step 3: Cross multiply
    208,419.24x = 312,628.05 × 50,648.16
  4. Step 4: Simplify right side
    208,419.24x = 15,834,035,496.89
  5. Step 5: Solve for x
    x = 15,834,035,496.89/208,419.24
  6. Step 6: Final answer
    x = 75,972.04

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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.