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Finding the Fourth Proportional to 255,935.70, 384,195.15 and 150,813.90

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Solution

The fourth proportional to 255,935.70, 384,195.15 and 150,813.90 is: 226,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,935.70 : 384,195.15 = 150,813.90 : x
  2. Step 2: Convert to fraction form
    255,935.70/384,195.15 = 150,813.90/x
  3. Step 3: Cross multiply
    255,935.70x = 384,195.15 × 150,813.90
  4. Step 4: Simplify right side
    255,935.70x = 57,941,968,932.59
  5. Step 5: Solve for x
    x = 57,941,968,932.59/255,935.70
  6. Step 6: Final answer
    x = 226,392.68

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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.