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Finding the Fourth Proportional to 301,887.84, 416,609.54 and 165,934.36

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Solution

The fourth proportional to 301,887.84, 416,609.54 and 165,934.36 is: 228,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,887.84 : 416,609.54 = 165,934.36 : x
  2. Step 2: Convert to fraction form
    301,887.84/416,609.54 = 165,934.36/x
  3. Step 3: Cross multiply
    301,887.84x = 416,609.54 × 165,934.36
  4. Step 4: Simplify right side
    301,887.84x = 69,129,837,389.79
  5. Step 5: Solve for x
    x = 69,129,837,389.79/301,887.84
  6. Step 6: Final answer
    x = 228,991.79

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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.