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Finding the Fourth Proportional to 192,265.89, 288,397.92 and 106,836.51

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Solution

The fourth proportional to 192,265.89, 288,397.92 and 106,836.51 is: 160,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,265.89 : 288,397.92 = 106,836.51 : x
  2. Step 2: Convert to fraction form
    192,265.89/288,397.92 = 106,836.51/x
  3. Step 3: Cross multiply
    192,265.89x = 288,397.92 × 106,836.51
  4. Step 4: Simplify right side
    192,265.89x = 30,811,427,264.06
  5. Step 5: Solve for x
    x = 30,811,427,264.06/192,265.89
  6. Step 6: Final answer
    x = 160,254.26

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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.