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Finding the Fourth Proportional to 158,980.80, 219,414.24 and 102,556.20

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Solution

The fourth proportional to 158,980.80, 219,414.24 and 102,556.20 is: 141,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,980.80 : 219,414.24 = 102,556.20 : x
  2. Step 2: Convert to fraction form
    158,980.80/219,414.24 = 102,556.20/x
  3. Step 3: Cross multiply
    158,980.80x = 219,414.24 × 102,556.20
  4. Step 4: Simplify right side
    158,980.80x = 22,502,290,680.29
  5. Step 5: Solve for x
    x = 22,502,290,680.29/158,980.80
  6. Step 6: Final answer
    x = 141,540.93

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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.