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Finding the Fourth Proportional to 120,158.46, 180,265.01 and 63,968.96

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Solution

The fourth proportional to 120,158.46, 180,265.01 and 63,968.96 is: 95,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,158.46 : 180,265.01 = 63,968.96 : x
  2. Step 2: Convert to fraction form
    120,158.46/180,265.01 = 63,968.96/x
  3. Step 3: Cross multiply
    120,158.46x = 180,265.01 × 63,968.96
  4. Step 4: Simplify right side
    120,158.46x = 11,531,363,992.92
  5. Step 5: Solve for x
    x = 11,531,363,992.92/120,158.46
  6. Step 6: Final answer
    x = 95,967.97

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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.