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Finding the Fourth Proportional to 119,168.96, 178,481.16 and 56,883.20

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Solution

The fourth proportional to 119,168.96, 178,481.16 and 56,883.20 is: 85,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,168.96 : 178,481.16 = 56,883.20 : x
  2. Step 2: Convert to fraction form
    119,168.96/178,481.16 = 56,883.20/x
  3. Step 3: Cross multiply
    119,168.96x = 178,481.16 × 56,883.20
  4. Step 4: Simplify right side
    119,168.96x = 10,152,579,520.51
  5. Step 5: Solve for x
    x = 10,152,579,520.51/119,168.96
  6. Step 6: Final answer
    x = 85,194.83

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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.