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Finding the Fourth Proportional to 120,593.78, 180,899.14 and 36,354.66

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Solution

The fourth proportional to 120,593.78, 180,899.14 and 36,354.66 is: 54,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,593.78 : 180,899.14 = 36,354.66 : x
  2. Step 2: Convert to fraction form
    120,593.78/180,899.14 = 36,354.66/x
  3. Step 3: Cross multiply
    120,593.78x = 180,899.14 × 36,354.66
  4. Step 4: Simplify right side
    120,593.78x = 6,576,525,824.50
  5. Step 5: Solve for x
    x = 6,576,525,824.50/120,593.78
  6. Step 6: Final answer
    x = 54,534.54

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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.