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Finding the Fourth Proportional to 106,840.60, 160,269.32 and 35,763.65

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Solution

The fourth proportional to 106,840.60, 160,269.32 and 35,763.65 is: 53,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,840.60 : 160,269.32 = 35,763.65 : x
  2. Step 2: Convert to fraction form
    106,840.60/160,269.32 = 35,763.65/x
  3. Step 3: Cross multiply
    106,840.60x = 160,269.32 × 35,763.65
  4. Step 4: Simplify right side
    106,840.60x = 5,731,815,755.29
  5. Step 5: Solve for x
    x = 5,731,815,755.29/106,840.60
  6. Step 6: Final answer
    x = 53,648.29

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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.