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Finding the Fourth Proportional to 208,246.48, 312,369.70 and 50,474.93

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Solution

The fourth proportional to 208,246.48, 312,369.70 and 50,474.93 is: 75,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,246.48 : 312,369.70 = 50,474.93 : x
  2. Step 2: Convert to fraction form
    208,246.48/312,369.70 = 50,474.93/x
  3. Step 3: Cross multiply
    208,246.48x = 312,369.70 × 50,474.93
  4. Step 4: Simplify right side
    208,246.48x = 15,766,838,741.62
  5. Step 5: Solve for x
    x = 15,766,838,741.62/208,246.48
  6. Step 6: Final answer
    x = 75,712.39

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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.