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Finding the Fourth Proportional to 252,241.42, 378,172.59 and 119,045.83

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Solution

The fourth proportional to 252,241.42, 378,172.59 and 119,045.83 is: 178,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,241.42 : 378,172.59 = 119,045.83 : x
  2. Step 2: Convert to fraction form
    252,241.42/378,172.59 = 119,045.83/x
  3. Step 3: Cross multiply
    252,241.42x = 378,172.59 × 119,045.83
  4. Step 4: Simplify right side
    252,241.42x = 45,019,869,859.80
  5. Step 5: Solve for x
    x = 45,019,869,859.80/252,241.42
  6. Step 6: Final answer
    x = 178,479.29

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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.