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Finding the Fourth Proportional to 301,098.84, 415,521.74 and 165,131.61

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Solution

The fourth proportional to 301,098.84, 415,521.74 and 165,131.61 is: 227,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.84 : 415,521.74 = 165,131.61 : x
  2. Step 2: Convert to fraction form
    301,098.84/415,521.74 = 165,131.61/x
  3. Step 3: Cross multiply
    301,098.84x = 415,521.74 × 165,131.61
  4. Step 4: Simplify right side
    301,098.84x = 68,615,773,916.20
  5. Step 5: Solve for x
    x = 68,615,773,916.20/301,098.84
  6. Step 6: Final answer
    x = 227,884.55

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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.