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Finding the Fourth Proportional to 120,556.17, 180,809.55 and 45,650.48

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Solution

The fourth proportional to 120,556.17, 180,809.55 and 45,650.48 is: 68,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,556.17 : 180,809.55 = 45,650.48 : x
  2. Step 2: Convert to fraction form
    120,556.17/180,809.55 = 45,650.48/x
  3. Step 3: Cross multiply
    120,556.17x = 180,809.55 × 45,650.48
  4. Step 4: Simplify right side
    120,556.17x = 8,254,041,842.04
  5. Step 5: Solve for x
    x = 8,254,041,842.04/120,556.17
  6. Step 6: Final answer
    x = 68,466.36

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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.