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Finding the Fourth Proportional to 192,903.82, 289,065.15 and 171,881.51

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Solution

The fourth proportional to 192,903.82, 289,065.15 and 171,881.51 is: 257,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,903.82 : 289,065.15 = 171,881.51 : x
  2. Step 2: Convert to fraction form
    192,903.82/289,065.15 = 171,881.51/x
  3. Step 3: Cross multiply
    192,903.82x = 289,065.15 × 171,881.51
  4. Step 4: Simplify right side
    192,903.82x = 49,684,953,610.97
  5. Step 5: Solve for x
    x = 49,684,953,610.97/192,903.82
  6. Step 6: Final answer
    x = 257,563.35

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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.