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Finding the Fourth Proportional to 120,315.10, 180,650.06 and 67,111.03

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Solution

The fourth proportional to 120,315.10, 180,650.06 and 67,111.03 is: 100,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,315.10 : 180,650.06 = 67,111.03 : x
  2. Step 2: Convert to fraction form
    120,315.10/180,650.06 = 67,111.03/x
  3. Step 3: Cross multiply
    120,315.10x = 180,650.06 × 67,111.03
  4. Step 4: Simplify right side
    120,315.10x = 12,123,610,692.91
  5. Step 5: Solve for x
    x = 12,123,610,692.91/120,315.10
  6. Step 6: Final answer
    x = 100,765.50

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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.