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Finding the Fourth Proportional to 208,980.15, 313,470.24 and 51,207.24

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Solution

The fourth proportional to 208,980.15, 313,470.24 and 51,207.24 is: 76,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,980.15 : 313,470.24 = 51,207.24 : x
  2. Step 2: Convert to fraction form
    208,980.15/313,470.24 = 51,207.24/x
  3. Step 3: Cross multiply
    208,980.15x = 313,470.24 × 51,207.24
  4. Step 4: Simplify right side
    208,980.15x = 16,051,945,812.54
  5. Step 5: Solve for x
    x = 16,051,945,812.54/208,980.15
  6. Step 6: Final answer
    x = 76,810.86

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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.