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Finding the Fourth Proportional to 165,459.72, 248,212.44 and 53,113.50

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Solution

The fourth proportional to 165,459.72, 248,212.44 and 53,113.50 is: 79,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,459.72 : 248,212.44 = 53,113.50 : x
  2. Step 2: Convert to fraction form
    165,459.72/248,212.44 = 53,113.50/x
  3. Step 3: Cross multiply
    165,459.72x = 248,212.44 × 53,113.50
  4. Step 4: Simplify right side
    165,459.72x = 13,183,431,431.94
  5. Step 5: Solve for x
    x = 13,183,431,431.94/165,459.72
  6. Step 6: Final answer
    x = 79,677.59

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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.