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Finding the Fourth Proportional to 231,205.80, 346,808.70 and 119,231.40

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Solution

The fourth proportional to 231,205.80, 346,808.70 and 119,231.40 is: 178,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,205.80 : 346,808.70 = 119,231.40 : x
  2. Step 2: Convert to fraction form
    231,205.80/346,808.70 = 119,231.40/x
  3. Step 3: Cross multiply
    231,205.80x = 346,808.70 × 119,231.40
  4. Step 4: Simplify right side
    231,205.80x = 41,350,486,833.18
  5. Step 5: Solve for x
    x = 41,350,486,833.18/231,205.80
  6. Step 6: Final answer
    x = 178,847.10

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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.