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Finding the Fourth Proportional to 213,914.49, 295,109.31 and 128,984.37

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Solution

The fourth proportional to 213,914.49, 295,109.31 and 128,984.37 is: 177,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,914.49 : 295,109.31 = 128,984.37 : x
  2. Step 2: Convert to fraction form
    213,914.49/295,109.31 = 128,984.37/x
  3. Step 3: Cross multiply
    213,914.49x = 295,109.31 × 128,984.37
  4. Step 4: Simplify right side
    213,914.49x = 38,064,487,210.02
  5. Step 5: Solve for x
    x = 38,064,487,210.02/213,914.49
  6. Step 6: Final answer
    x = 177,942.54

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