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Finding the Fourth Proportional to 255,984.40, 384,195.30 and 114,048.10

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Solution

The fourth proportional to 255,984.40, 384,195.30 and 114,048.10 is: 171,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,984.40 : 384,195.30 = 114,048.10 : x
  2. Step 2: Convert to fraction form
    255,984.40/384,195.30 = 114,048.10/x
  3. Step 3: Cross multiply
    255,984.40x = 384,195.30 × 114,048.10
  4. Step 4: Simplify right side
    255,984.40x = 43,816,743,993.93
  5. Step 5: Solve for x
    x = 43,816,743,993.93/255,984.40
  6. Step 6: Final answer
    x = 171,169.59

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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.