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Finding the Fourth Proportional to 120,455.10, 180,509.51 and 67,753.26

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Solution

The fourth proportional to 120,455.10, 180,509.51 and 67,753.26 is: 101,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,455.10 : 180,509.51 = 67,753.26 : x
  2. Step 2: Convert to fraction form
    120,455.10/180,509.51 = 67,753.26/x
  3. Step 3: Cross multiply
    120,455.10x = 180,509.51 × 67,753.26
  4. Step 4: Simplify right side
    120,455.10x = 12,230,107,932.89
  5. Step 5: Solve for x
    x = 12,230,107,932.89/120,455.10
  6. Step 6: Final answer
    x = 101,532.50

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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.