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Finding the Fourth Proportional to 188,909.70, 283,364.55 and 164,305.95

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Solution

The fourth proportional to 188,909.70, 283,364.55 and 164,305.95 is: 246,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,909.70 : 283,364.55 = 164,305.95 : x
  2. Step 2: Convert to fraction form
    188,909.70/283,364.55 = 164,305.95/x
  3. Step 3: Cross multiply
    188,909.70x = 283,364.55 × 164,305.95
  4. Step 4: Simplify right side
    188,909.70x = 46,558,481,584.07
  5. Step 5: Solve for x
    x = 46,558,481,584.07/188,909.70
  6. Step 6: Final answer
    x = 246,458.93

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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.