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Finding the Fourth Proportional to 254,192.40, 380,851.20 and 165,400.20

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Solution

The fourth proportional to 254,192.40, 380,851.20 and 165,400.20 is: 247,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,192.40 : 380,851.20 = 165,400.20 : x
  2. Step 2: Convert to fraction form
    254,192.40/380,851.20 = 165,400.20/x
  3. Step 3: Cross multiply
    254,192.40x = 380,851.20 × 165,400.20
  4. Step 4: Simplify right side
    254,192.40x = 62,992,864,650.24
  5. Step 5: Solve for x
    x = 62,992,864,650.24/254,192.40
  6. Step 6: Final answer
    x = 247,815.69

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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.