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Finding the Fourth Proportional to 164,458.24, 246,773.81 and 116,734.82

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Solution

The fourth proportional to 164,458.24, 246,773.81 and 116,734.82 is: 175,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,458.24 : 246,773.81 = 116,734.82 : x
  2. Step 2: Convert to fraction form
    164,458.24/246,773.81 = 116,734.82/x
  3. Step 3: Cross multiply
    164,458.24x = 246,773.81 × 116,734.82
  4. Step 4: Simplify right side
    164,458.24x = 28,807,095,993.03
  5. Step 5: Solve for x
    x = 28,807,095,993.03/164,458.24
  6. Step 6: Final answer
    x = 175,163.60

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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.