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Finding the Fourth Proportional to 164,083.16, 226,437.72 and 96,149

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Solution

The fourth proportional to 164,083.16, 226,437.72 and 96,149 is: 132,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,083.16 : 226,437.72 = 96,149 : x
  2. Step 2: Convert to fraction form
    164,083.16/226,437.72 = 96,149/x
  3. Step 3: Cross multiply
    164,083.16x = 226,437.72 × 96,149
  4. Step 4: Simplify right side
    164,083.16x = 21,771,760,340.28
  5. Step 5: Solve for x
    x = 21,771,760,340.28/164,083.16
  6. Step 6: Final answer
    x = 132,687.35

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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.