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Finding the Fourth Proportional to 235,012.80, 352,577.52 and 110,208

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Solution

The fourth proportional to 235,012.80, 352,577.52 and 110,208 is: 165,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,012.80 : 352,577.52 = 110,208 : x
  2. Step 2: Convert to fraction form
    235,012.80/352,577.52 = 110,208/x
  3. Step 3: Cross multiply
    235,012.80x = 352,577.52 × 110,208
  4. Step 4: Simplify right side
    235,012.80x = 38,856,863,324.16
  5. Step 5: Solve for x
    x = 38,856,863,324.16/235,012.80
  6. Step 6: Final answer
    x = 165,339.35

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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.