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Finding the Fourth Proportional to 190,109.80, 285,164.70 and 188,797.60

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Solution

The fourth proportional to 190,109.80, 285,164.70 and 188,797.60 is: 283,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,109.80 : 285,164.70 = 188,797.60 : x
  2. Step 2: Convert to fraction form
    190,109.80/285,164.70 = 188,797.60/x
  3. Step 3: Cross multiply
    190,109.80x = 285,164.70 × 188,797.60
  4. Step 4: Simplify right side
    190,109.80x = 53,838,410,964.72
  5. Step 5: Solve for x
    x = 53,838,410,964.72/190,109.80
  6. Step 6: Final answer
    x = 283,196.40

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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.