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Finding the Fourth Proportional to 492,051.80, 737,976.90 and 136,976.60

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Solution

The fourth proportional to 492,051.80, 737,976.90 and 136,976.60 is: 205,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,051.80 : 737,976.90 = 136,976.60 : x
  2. Step 2: Convert to fraction form
    492,051.80/737,976.90 = 136,976.60/x
  3. Step 3: Cross multiply
    492,051.80x = 737,976.90 × 136,976.60
  4. Step 4: Simplify right side
    492,051.80x = 101,085,566,640.54
  5. Step 5: Solve for x
    x = 101,085,566,640.54/492,051.80
  6. Step 6: Final answer
    x = 205,436.84

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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.