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Finding the Fourth Proportional to 271,008.33, 406,069.01 and 164,068.14

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Solution

The fourth proportional to 271,008.33, 406,069.01 and 164,068.14 is: 245,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,008.33 : 406,069.01 = 164,068.14 : x
  2. Step 2: Convert to fraction form
    271,008.33/406,069.01 = 164,068.14/x
  3. Step 3: Cross multiply
    271,008.33x = 406,069.01 × 164,068.14
  4. Step 4: Simplify right side
    271,008.33x = 66,622,987,182.34
  5. Step 5: Solve for x
    x = 66,622,987,182.34/271,008.33
  6. Step 6: Final answer
    x = 245,833.72

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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.