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Finding the Fourth Proportional to 119,184.75, 178,739.16 and 39,204.42

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Solution

The fourth proportional to 119,184.75, 178,739.16 and 39,204.42 is: 58,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,184.75 : 178,739.16 = 39,204.42 : x
  2. Step 2: Convert to fraction form
    119,184.75/178,739.16 = 39,204.42/x
  3. Step 3: Cross multiply
    119,184.75x = 178,739.16 × 39,204.42
  4. Step 4: Simplify right side
    119,184.75x = 7,007,365,099.09
  5. Step 5: Solve for x
    x = 7,007,365,099.09/119,184.75
  6. Step 6: Final answer
    x = 58,794.14

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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.