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Finding the Fourth Proportional to 301,287.88, 415,763.38 and 165,318.52

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Solution

The fourth proportional to 301,287.88, 415,763.38 and 165,318.52 is: 228,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,287.88 : 415,763.38 = 165,318.52 : x
  2. Step 2: Convert to fraction form
    301,287.88/415,763.38 = 165,318.52/x
  3. Step 3: Cross multiply
    301,287.88x = 415,763.38 × 165,318.52
  4. Step 4: Simplify right side
    301,287.88x = 68,733,386,651.80
  5. Step 5: Solve for x
    x = 68,733,386,651.80/301,287.88
  6. Step 6: Final answer
    x = 228,131.93

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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.