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Finding the Fourth Proportional to 82,189.40, 123,212.10 and 55,808.60

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Solution

The fourth proportional to 82,189.40, 123,212.10 and 55,808.60 is: 83,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,189.40 : 123,212.10 = 55,808.60 : x
  2. Step 2: Convert to fraction form
    82,189.40/123,212.10 = 55,808.60/x
  3. Step 3: Cross multiply
    82,189.40x = 123,212.10 × 55,808.60
  4. Step 4: Simplify right side
    82,189.40x = 6,876,294,804.06
  5. Step 5: Solve for x
    x = 6,876,294,804.06/82,189.40
  6. Step 6: Final answer
    x = 83,664.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.