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Finding the Fourth Proportional to 293,146.84, 404,508.64 and 164,092.54

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Solution

The fourth proportional to 293,146.84, 404,508.64 and 164,092.54 is: 226,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,146.84 : 404,508.64 = 164,092.54 : x
  2. Step 2: Convert to fraction form
    293,146.84/404,508.64 = 164,092.54/x
  3. Step 3: Cross multiply
    293,146.84x = 404,508.64 × 164,092.54
  4. Step 4: Simplify right side
    293,146.84x = 66,376,850,189.55
  5. Step 5: Solve for x
    x = 66,376,850,189.55/293,146.84
  6. Step 6: Final answer
    x = 226,428.67

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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.