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Finding the Fourth Proportional to 301,508.35, 416,082.33 and 165,551.11

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Solution

The fourth proportional to 301,508.35, 416,082.33 and 165,551.11 is: 228,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,508.35 : 416,082.33 = 165,551.11 : x
  2. Step 2: Convert to fraction form
    301,508.35/416,082.33 = 165,551.11/x
  3. Step 3: Cross multiply
    301,508.35x = 416,082.33 × 165,551.11
  4. Step 4: Simplify right side
    301,508.35x = 68,882,891,582.89
  5. Step 5: Solve for x
    x = 68,882,891,582.89/301,508.35
  6. Step 6: Final answer
    x = 228,460.97

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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.