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Finding the Fourth Proportional to 256,103.10, 353,457.90 and 142,933.14

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Solution

The fourth proportional to 256,103.10, 353,457.90 and 142,933.14 is: 197,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,103.10 : 353,457.90 = 142,933.14 : x
  2. Step 2: Convert to fraction form
    256,103.10/353,457.90 = 142,933.14/x
  3. Step 3: Cross multiply
    256,103.10x = 353,457.90 × 142,933.14
  4. Step 4: Simplify right side
    256,103.10x = 50,520,847,504.81
  5. Step 5: Solve for x
    x = 50,520,847,504.81/256,103.10
  6. Step 6: Final answer
    x = 197,267.61

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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.