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Finding the Fourth Proportional to 259,637.40, 389,492.55 and 82,125.90

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Solution

The fourth proportional to 259,637.40, 389,492.55 and 82,125.90 is: 123,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,637.40 : 389,492.55 = 82,125.90 : x
  2. Step 2: Convert to fraction form
    259,637.40/389,492.55 = 82,125.90/x
  3. Step 3: Cross multiply
    259,637.40x = 389,492.55 × 82,125.90
  4. Step 4: Simplify right side
    259,637.40x = 31,987,426,212.05
  5. Step 5: Solve for x
    x = 31,987,426,212.05/259,637.40
  6. Step 6: Final answer
    x = 123,200.38

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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.