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Finding the Fourth Proportional to 82,365.40, 123,548.10 and 81,782.20

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Solution

The fourth proportional to 82,365.40, 123,548.10 and 81,782.20 is: 122,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365.40 : 123,548.10 = 81,782.20 : x
  2. Step 2: Convert to fraction form
    82,365.40/123,548.10 = 81,782.20/x
  3. Step 3: Cross multiply
    82,365.40x = 123,548.10 × 81,782.20
  4. Step 4: Simplify right side
    82,365.40x = 10,104,035,423.82
  5. Step 5: Solve for x
    x = 10,104,035,423.82/82,365.40
  6. Step 6: Final answer
    x = 122,673.30

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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.