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Finding the Fourth Proportional to 214,673.60, 322,010.40 and 179,940.80

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Solution

The fourth proportional to 214,673.60, 322,010.40 and 179,940.80 is: 269,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,673.60 : 322,010.40 = 179,940.80 : x
  2. Step 2: Convert to fraction form
    214,673.60/322,010.40 = 179,940.80/x
  3. Step 3: Cross multiply
    214,673.60x = 322,010.40 × 179,940.80
  4. Step 4: Simplify right side
    214,673.60x = 57,942,808,984.32
  5. Step 5: Solve for x
    x = 57,942,808,984.32/214,673.60
  6. Step 6: Final answer
    x = 269,911.20

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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.