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Finding the Fourth Proportional to 192,914.97, 289,275.06 and 112,978.41

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Solution

The fourth proportional to 192,914.97, 289,275.06 and 112,978.41 is: 169,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,914.97 : 289,275.06 = 112,978.41 : x
  2. Step 2: Convert to fraction form
    192,914.97/289,275.06 = 112,978.41/x
  3. Step 3: Cross multiply
    192,914.97x = 289,275.06 × 112,978.41
  4. Step 4: Simplify right side
    192,914.97x = 32,681,835,600.51
  5. Step 5: Solve for x
    x = 32,681,835,600.51/192,914.97
  6. Step 6: Final answer
    x = 169,410.58

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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.