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Finding the Fourth Proportional to 301,192.47, 415,648.82 and 165,226.68

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Solution

The fourth proportional to 301,192.47, 415,648.82 and 165,226.68 is: 228,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,192.47 : 415,648.82 = 165,226.68 : x
  2. Step 2: Convert to fraction form
    301,192.47/415,648.82 = 165,226.68/x
  3. Step 3: Cross multiply
    301,192.47x = 415,648.82 × 165,226.68
  4. Step 4: Simplify right side
    301,192.47x = 68,676,273,748.38
  5. Step 5: Solve for x
    x = 68,676,273,748.38/301,192.47
  6. Step 6: Final answer
    x = 228,014.58

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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.