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Finding the Fourth Proportional to 281,515.38, 388,497.54 and 160,654.26

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Solution

The fourth proportional to 281,515.38, 388,497.54 and 160,654.26 is: 221,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,515.38 : 388,497.54 = 160,654.26 : x
  2. Step 2: Convert to fraction form
    281,515.38/388,497.54 = 160,654.26/x
  3. Step 3: Cross multiply
    281,515.38x = 388,497.54 × 160,654.26
  4. Step 4: Simplify right side
    281,515.38x = 62,413,784,800.52
  5. Step 5: Solve for x
    x = 62,413,784,800.52/281,515.38
  6. Step 6: Final answer
    x = 221,706.48

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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.