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Finding the Fourth Proportional to 108,466.51, 162,949.52 and 76,954.81

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Solution

The fourth proportional to 108,466.51, 162,949.52 and 76,954.81 is: 115,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,466.51 : 162,949.52 = 76,954.81 : x
  2. Step 2: Convert to fraction form
    108,466.51/162,949.52 = 76,954.81/x
  3. Step 3: Cross multiply
    108,466.51x = 162,949.52 × 76,954.81
  4. Step 4: Simplify right side
    108,466.51x = 12,539,749,351.19
  5. Step 5: Solve for x
    x = 12,539,749,351.19/108,466.51
  6. Step 6: Final answer
    x = 115,609.41

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Why These Related Problems?

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