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Finding the Fourth Proportional to 155,137.50, 214,089.75 and 84,481.50

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Solution

The fourth proportional to 155,137.50, 214,089.75 and 84,481.50 is: 116,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,137.50 : 214,089.75 = 84,481.50 : x
  2. Step 2: Convert to fraction form
    155,137.50/214,089.75 = 84,481.50/x
  3. Step 3: Cross multiply
    155,137.50x = 214,089.75 × 84,481.50
  4. Step 4: Simplify right side
    155,137.50x = 18,086,623,214.63
  5. Step 5: Solve for x
    x = 18,086,623,214.63/155,137.50
  6. Step 6: Final answer
    x = 116,584.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.