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Finding the Fourth Proportional to 258,225.30, 387,338.22 and 80,733.24

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Solution

The fourth proportional to 258,225.30, 387,338.22 and 80,733.24 is: 121,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,225.30 : 387,338.22 = 80,733.24 : x
  2. Step 2: Convert to fraction form
    258,225.30/387,338.22 = 80,733.24/x
  3. Step 3: Cross multiply
    258,225.30x = 387,338.22 × 80,733.24
  4. Step 4: Simplify right side
    258,225.30x = 31,271,069,476.43
  5. Step 5: Solve for x
    x = 31,271,069,476.43/258,225.30
  6. Step 6: Final answer
    x = 121,099.94

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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.