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Finding the Fourth Proportional to 103,814.30, 155,663.85 and 41,414.30

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Solution

The fourth proportional to 103,814.30, 155,663.85 and 41,414.30 is: 62,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,814.30 : 155,663.85 = 41,414.30 : x
  2. Step 2: Convert to fraction form
    103,814.30/155,663.85 = 41,414.30/x
  3. Step 3: Cross multiply
    103,814.30x = 155,663.85 × 41,414.30
  4. Step 4: Simplify right side
    103,814.30x = 6,446,709,383.06
  5. Step 5: Solve for x
    x = 6,446,709,383.06/103,814.30
  6. Step 6: Final answer
    x = 62,098.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.