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Finding the Fourth Proportional to 192,862.32, 289,301.16 and 81,978.48

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Solution

The fourth proportional to 192,862.32, 289,301.16 and 81,978.48 is: 122,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,862.32 : 289,301.16 = 81,978.48 : x
  2. Step 2: Convert to fraction form
    192,862.32/289,301.16 = 81,978.48/x
  3. Step 3: Cross multiply
    192,862.32x = 289,301.16 × 81,978.48
  4. Step 4: Simplify right side
    192,862.32x = 23,716,469,359.04
  5. Step 5: Solve for x
    x = 23,716,469,359.04/192,862.32
  6. Step 6: Final answer
    x = 122,970.98

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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.