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Finding the Fourth Proportional to 218,959.80, 302,164.38 and 118,357.80

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Solution

The fourth proportional to 218,959.80, 302,164.38 and 118,357.80 is: 163,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,959.80 : 302,164.38 = 118,357.80 : x
  2. Step 2: Convert to fraction form
    218,959.80/302,164.38 = 118,357.80/x
  3. Step 3: Cross multiply
    218,959.80x = 302,164.38 × 118,357.80
  4. Step 4: Simplify right side
    218,959.80x = 35,763,511,255.16
  5. Step 5: Solve for x
    x = 35,763,511,255.16/218,959.80
  6. Step 6: Final answer
    x = 163,333.69

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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.