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Finding the Fourth Proportional to 190,674.60, 286,190.28 and 100,784.03

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Solution

The fourth proportional to 190,674.60, 286,190.28 and 100,784.03 is: 151,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,674.60 : 286,190.28 = 100,784.03 : x
  2. Step 2: Convert to fraction form
    190,674.60/286,190.28 = 100,784.03/x
  3. Step 3: Cross multiply
    190,674.60x = 286,190.28 × 100,784.03
  4. Step 4: Simplify right side
    190,674.60x = 28,843,409,765.23
  5. Step 5: Solve for x
    x = 28,843,409,765.23/190,674.60
  6. Step 6: Final answer
    x = 151,270.33

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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.