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Finding the Fourth Proportional to 281,514.38, 388,496.16 and 160,653.26

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Solution

The fourth proportional to 281,514.38, 388,496.16 and 160,653.26 is: 221,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,514.38 : 388,496.16 = 160,653.26 : x
  2. Step 2: Convert to fraction form
    281,514.38/388,496.16 = 160,653.26/x
  3. Step 3: Cross multiply
    281,514.38x = 388,496.16 × 160,653.26
  4. Step 4: Simplify right side
    281,514.38x = 62,413,174,601.48
  5. Step 5: Solve for x
    x = 62,413,174,601.48/281,514.38
  6. Step 6: Final answer
    x = 221,705.10

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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.