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Finding the Fourth Proportional to 235,624.08, 353,447.46 and 77,849.04

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Solution

The fourth proportional to 235,624.08, 353,447.46 and 77,849.04 is: 116,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,624.08 : 353,447.46 = 77,849.04 : x
  2. Step 2: Convert to fraction form
    235,624.08/353,447.46 = 77,849.04/x
  3. Step 3: Cross multiply
    235,624.08x = 353,447.46 × 77,849.04
  4. Step 4: Simplify right side
    235,624.08x = 27,515,545,451.44
  5. Step 5: Solve for x
    x = 27,515,545,451.44/235,624.08
  6. Step 6: Final answer
    x = 116,777.31

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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.