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Finding the Fourth Proportional to 235,488.59, 353,183.44 and 77,680.07

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Solution

The fourth proportional to 235,488.59, 353,183.44 and 77,680.07 is: 116,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,488.59 : 353,183.44 = 77,680.07 : x
  2. Step 2: Convert to fraction form
    235,488.59/353,183.44 = 77,680.07/x
  3. Step 3: Cross multiply
    235,488.59x = 353,183.44 × 77,680.07
  4. Step 4: Simplify right side
    235,488.59x = 27,435,314,342.04
  5. Step 5: Solve for x
    x = 27,435,314,342.04/235,488.59
  6. Step 6: Final answer
    x = 116,503.79

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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.