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Finding the Fourth Proportional to 302,924.38, 418,034.28 and 165,103.08

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Solution

The fourth proportional to 302,924.38, 418,034.28 and 165,103.08 is: 227,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,924.38 : 418,034.28 = 165,103.08 : x
  2. Step 2: Convert to fraction form
    302,924.38/418,034.28 = 165,103.08/x
  3. Step 3: Cross multiply
    302,924.38x = 418,034.28 × 165,103.08
  4. Step 4: Simplify right side
    302,924.38x = 69,018,747,173.58
  5. Step 5: Solve for x
    x = 69,018,747,173.58/302,924.38
  6. Step 6: Final answer
    x = 227,841.51

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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.