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Finding the Fourth Proportional to 190,846.80, 286,270.20 and 164,581.20

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Solution

The fourth proportional to 190,846.80, 286,270.20 and 164,581.20 is: 246,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,846.80 : 286,270.20 = 164,581.20 : x
  2. Step 2: Convert to fraction form
    190,846.80/286,270.20 = 164,581.20/x
  3. Step 3: Cross multiply
    190,846.80x = 286,270.20 × 164,581.20
  4. Step 4: Simplify right side
    190,846.80x = 47,114,693,040.24
  5. Step 5: Solve for x
    x = 47,114,693,040.24/190,846.80
  6. Step 6: Final answer
    x = 246,871.80

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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.