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Finding the Fourth Proportional to 301,201.81, 415,663.97 and 165,242.70

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Solution

The fourth proportional to 301,201.81, 415,663.97 and 165,242.70 is: 228,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,201.81 : 415,663.97 = 165,242.70 : x
  2. Step 2: Convert to fraction form
    301,201.81/415,663.97 = 165,242.70/x
  3. Step 3: Cross multiply
    301,201.81x = 415,663.97 × 165,242.70
  4. Step 4: Simplify right side
    301,201.81x = 68,685,435,869.31
  5. Step 5: Solve for x
    x = 68,685,435,869.31/301,201.81
  6. Step 6: Final answer
    x = 228,037.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.