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Finding the Fourth Proportional to 192,554.29, 288,827.84 and 57,618.44

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Solution

The fourth proportional to 192,554.29, 288,827.84 and 57,618.44 is: 86,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,554.29 : 288,827.84 = 57,618.44 : x
  2. Step 2: Convert to fraction form
    192,554.29/288,827.84 = 57,618.44/x
  3. Step 3: Cross multiply
    192,554.29x = 288,827.84 × 57,618.44
  4. Step 4: Simplify right side
    192,554.29x = 16,641,809,569.37
  5. Step 5: Solve for x
    x = 16,641,809,569.37/192,554.29
  6. Step 6: Final answer
    x = 86,426.58

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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.