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Finding the Fourth Proportional to 192,669.84, 265,708.71 and 165,437.42

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Solution

The fourth proportional to 192,669.84, 265,708.71 and 165,437.42 is: 228,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,669.84 : 265,708.71 = 165,437.42 : x
  2. Step 2: Convert to fraction form
    192,669.84/265,708.71 = 165,437.42/x
  3. Step 3: Cross multiply
    192,669.84x = 265,708.71 × 165,437.42
  4. Step 4: Simplify right side
    192,669.84x = 43,958,162,125.38
  5. Step 5: Solve for x
    x = 43,958,162,125.38/192,669.84
  6. Step 6: Final answer
    x = 228,152.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.