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Finding the Fourth Proportional to 299,967.39, 413,962.82 and 164,007.07

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Solution

The fourth proportional to 299,967.39, 413,962.82 and 164,007.07 is: 226,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,967.39 : 413,962.82 = 164,007.07 : x
  2. Step 2: Convert to fraction form
    299,967.39/413,962.82 = 164,007.07/x
  3. Step 3: Cross multiply
    299,967.39x = 413,962.82 × 164,007.07
  4. Step 4: Simplify right side
    299,967.39x = 67,892,829,197.14
  5. Step 5: Solve for x
    x = 67,892,829,197.14/299,967.39
  6. Step 6: Final answer
    x = 226,334.03

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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.