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Finding the Fourth Proportional to 136,696.20, 205,042.56 and 46,738.01

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Solution

The fourth proportional to 136,696.20, 205,042.56 and 46,738.01 is: 70,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,696.20 : 205,042.56 = 46,738.01 : x
  2. Step 2: Convert to fraction form
    136,696.20/205,042.56 = 46,738.01/x
  3. Step 3: Cross multiply
    136,696.20x = 205,042.56 × 46,738.01
  4. Step 4: Simplify right side
    136,696.20x = 9,583,280,194.49
  5. Step 5: Solve for x
    x = 9,583,280,194.49/136,696.20
  6. Step 6: Final answer
    x = 70,106.41

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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.