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Finding the Fourth Proportional to 208,828.80, 313,243.20 and 145,843.20

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Solution

The fourth proportional to 208,828.80, 313,243.20 and 145,843.20 is: 218,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,828.80 : 313,243.20 = 145,843.20 : x
  2. Step 2: Convert to fraction form
    208,828.80/313,243.20 = 145,843.20/x
  3. Step 3: Cross multiply
    208,828.80x = 313,243.20 × 145,843.20
  4. Step 4: Simplify right side
    208,828.80x = 45,684,390,666.24
  5. Step 5: Solve for x
    x = 45,684,390,666.24/208,828.80
  6. Step 6: Final answer
    x = 218,764.80

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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.