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Finding the Fourth Proportional to 129,696.80, 178,993.40 and 78,722.58

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Solution

The fourth proportional to 129,696.80, 178,993.40 and 78,722.58 is: 108,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,696.80 : 178,993.40 = 78,722.58 : x
  2. Step 2: Convert to fraction form
    129,696.80/178,993.40 = 78,722.58/x
  3. Step 3: Cross multiply
    129,696.80x = 178,993.40 × 78,722.58
  4. Step 4: Simplify right side
    129,696.80x = 14,090,822,528.58
  5. Step 5: Solve for x
    x = 14,090,822,528.58/129,696.80
  6. Step 6: Final answer
    x = 108,644.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.