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Finding the Fourth Proportional to 82,186.40, 123,207.60 and 55,805.60

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Solution

The fourth proportional to 82,186.40, 123,207.60 and 55,805.60 is: 83,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,186.40 : 123,207.60 = 55,805.60 : x
  2. Step 2: Convert to fraction form
    82,186.40/123,207.60 = 55,805.60/x
  3. Step 3: Cross multiply
    82,186.40x = 123,207.60 × 55,805.60
  4. Step 4: Simplify right side
    82,186.40x = 6,875,674,042.56
  5. Step 5: Solve for x
    x = 6,875,674,042.56/82,186.40
  6. Step 6: Final answer
    x = 83,659.51

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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.