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Finding the Fourth Proportional to 106,920.96, 160,379.76 and 36,800.88

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Solution

The fourth proportional to 106,920.96, 160,379.76 and 36,800.88 is: 55,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920.96 : 160,379.76 = 36,800.88 : x
  2. Step 2: Convert to fraction form
    106,920.96/160,379.76 = 36,800.88/x
  3. Step 3: Cross multiply
    106,920.96x = 160,379.76 × 36,800.88
  4. Step 4: Simplify right side
    106,920.96x = 5,902,116,302.19
  5. Step 5: Solve for x
    x = 5,902,116,302.19/106,920.96
  6. Step 6: Final answer
    x = 55,200.74

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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.