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Finding the Fourth Proportional to 235,481.96, 353,091.72 and 77,668.04

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Solution

The fourth proportional to 235,481.96, 353,091.72 and 77,668.04 is: 116,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,481.96 : 353,091.72 = 77,668.04 : x
  2. Step 2: Convert to fraction form
    235,481.96/353,091.72 = 77,668.04/x
  3. Step 3: Cross multiply
    235,481.96x = 353,091.72 × 77,668.04
  4. Step 4: Simplify right side
    235,481.96x = 27,423,941,832.63
  5. Step 5: Solve for x
    x = 27,423,941,832.63/235,481.96
  6. Step 6: Final answer
    x = 116,458.78

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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.