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Finding the Fourth Proportional to 301,128.29, 415,568.66 and 165,167.97

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Solution

The fourth proportional to 301,128.29, 415,568.66 and 165,167.97 is: 227,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,128.29 : 415,568.66 = 165,167.97 : x
  2. Step 2: Convert to fraction form
    301,128.29/415,568.66 = 165,167.97/x
  3. Step 3: Cross multiply
    301,128.29x = 415,568.66 × 165,167.97
  4. Step 4: Simplify right side
    301,128.29x = 68,638,631,967.82
  5. Step 5: Solve for x
    x = 68,638,631,967.82/301,128.29
  6. Step 6: Final answer
    x = 227,938.17

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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.