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Finding the Fourth Proportional to 208,242.98, 312,364.46 and 50,471.43

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Solution

The fourth proportional to 208,242.98, 312,364.46 and 50,471.43 is: 75,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,242.98 : 312,364.46 = 50,471.43 : x
  2. Step 2: Convert to fraction form
    208,242.98/312,364.46 = 50,471.43/x
  3. Step 3: Cross multiply
    208,242.98x = 312,364.46 × 50,471.43
  4. Step 4: Simplify right side
    208,242.98x = 15,765,480,725.02
  5. Step 5: Solve for x
    x = 15,765,480,725.02/208,242.98
  6. Step 6: Final answer
    x = 75,707.14

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Why These Related Problems?

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