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Finding the Fourth Proportional to 254,204.96, 380,842.70 and 119,021.02

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Solution

The fourth proportional to 254,204.96, 380,842.70 and 119,021.02 is: 178,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,204.96 : 380,842.70 = 119,021.02 : x
  2. Step 2: Convert to fraction form
    254,204.96/380,842.70 = 119,021.02/x
  3. Step 3: Cross multiply
    254,204.96x = 380,842.70 × 119,021.02
  4. Step 4: Simplify right side
    254,204.96x = 45,328,285,066.34
  5. Step 5: Solve for x
    x = 45,328,285,066.34/254,204.96
  6. Step 6: Final answer
    x = 178,313.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.