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Finding the Fourth Proportional to 192,004.20, 287,660.70 and 164,356.20

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Solution

The fourth proportional to 192,004.20, 287,660.70 and 164,356.20 is: 246,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,004.20 : 287,660.70 = 164,356.20 : x
  2. Step 2: Convert to fraction form
    192,004.20/287,660.70 = 164,356.20/x
  3. Step 3: Cross multiply
    192,004.20x = 287,660.70 × 164,356.20
  4. Step 4: Simplify right side
    192,004.20x = 47,278,819,541.34
  5. Step 5: Solve for x
    x = 47,278,819,541.34/192,004.20
  6. Step 6: Final answer
    x = 246,238.47

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1.5x scale

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.