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Finding the Fourth Proportional to 301,308.51, 415,791.66 and 165,339.03

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Solution

The fourth proportional to 301,308.51, 415,791.66 and 165,339.03 is: 228,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,308.51 : 415,791.66 = 165,339.03 : x
  2. Step 2: Convert to fraction form
    301,308.51/415,791.66 = 165,339.03/x
  3. Step 3: Cross multiply
    301,308.51x = 415,791.66 × 165,339.03
  4. Step 4: Simplify right side
    301,308.51x = 68,746,589,746.49
  5. Step 5: Solve for x
    x = 68,746,589,746.49/301,308.51
  6. Step 6: Final answer
    x = 228,160.13

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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.