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Finding the Fourth Proportional to 165,111.64, 227,854.19 and 93,491.77

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Solution

The fourth proportional to 165,111.64, 227,854.19 and 93,491.77 is: 129,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,111.64 : 227,854.19 = 93,491.77 : x
  2. Step 2: Convert to fraction form
    165,111.64/227,854.19 = 93,491.77/x
  3. Step 3: Cross multiply
    165,111.64x = 227,854.19 × 93,491.77
  4. Step 4: Simplify right side
    165,111.64x = 21,302,491,525.02
  5. Step 5: Solve for x
    x = 21,302,491,525.02/165,111.64
  6. Step 6: Final answer
    x = 129,018.71

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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.