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Finding the Fourth Proportional to 235,514.95, 353,112.53 and 119,825.12

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Solution

The fourth proportional to 235,514.95, 353,112.53 and 119,825.12 is: 179,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,514.95 : 353,112.53 = 119,825.12 : x
  2. Step 2: Convert to fraction form
    235,514.95/353,112.53 = 119,825.12/x
  3. Step 3: Cross multiply
    235,514.95x = 353,112.53 × 119,825.12
  4. Step 4: Simplify right side
    235,514.95x = 42,311,751,732.91
  5. Step 5: Solve for x
    x = 42,311,751,732.91/235,514.95
  6. Step 6: Final answer
    x = 179,656.33

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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.