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Finding the Fourth Proportional to 255,900, 353,142 and 142,722.84

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Solution

The fourth proportional to 255,900, 353,142 and 142,722.84 is: 196,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,900 : 353,142 = 142,722.84 : x
  2. Step 2: Convert to fraction form
    255,900/353,142 = 142,722.84/x
  3. Step 3: Cross multiply
    255,900x = 353,142 × 142,722.84
  4. Step 4: Simplify right side
    255,900x = 50,401,429,163.28
  5. Step 5: Solve for x
    x = 50,401,429,163.28/255,900
  6. Step 6: Final answer
    x = 196,957.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.