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Finding the Fourth Proportional to 255,537.27, 382,882.16 and 155,394.54

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Solution

The fourth proportional to 255,537.27, 382,882.16 and 155,394.54 is: 232,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,537.27 : 382,882.16 = 155,394.54 : x
  2. Step 2: Convert to fraction form
    255,537.27/382,882.16 = 155,394.54/x
  3. Step 3: Cross multiply
    255,537.27x = 382,882.16 × 155,394.54
  4. Step 4: Simplify right side
    255,537.27x = 59,497,797,515.89
  5. Step 5: Solve for x
    x = 59,497,797,515.89/255,537.27
  6. Step 6: Final answer
    x = 232,834.13

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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.