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Finding the Fourth Proportional to 165,534.84, 248,324.94 and 53,188.38

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Solution

The fourth proportional to 165,534.84, 248,324.94 and 53,188.38 is: 79,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,534.84 : 248,324.94 = 53,188.38 : x
  2. Step 2: Convert to fraction form
    165,534.84/248,324.94 = 53,188.38/x
  3. Step 3: Cross multiply
    165,534.84x = 248,324.94 × 53,188.38
  4. Step 4: Simplify right side
    165,534.84x = 13,208,001,272.20
  5. Step 5: Solve for x
    x = 13,208,001,272.20/165,534.84
  6. Step 6: Final answer
    x = 79,789.86

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