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Finding the Fourth Proportional to 190,487.80, 285,480.97 and 106,287.60

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Solution

The fourth proportional to 190,487.80, 285,480.97 and 106,287.60 is: 159,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,487.80 : 285,480.97 = 106,287.60 : x
  2. Step 2: Convert to fraction form
    190,487.80/285,480.97 = 106,287.60/x
  3. Step 3: Cross multiply
    190,487.80x = 285,480.97 × 106,287.60
  4. Step 4: Simplify right side
    190,487.80x = 30,343,087,146.97
  5. Step 5: Solve for x
    x = 30,343,087,146.97/190,487.80
  6. Step 6: Final answer
    x = 159,291.50

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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.