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Finding the Fourth Proportional to 235,595.88, 353,318.94 and 77,794.92

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Solution

The fourth proportional to 235,595.88, 353,318.94 and 77,794.92 is: 116,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,595.88 : 353,318.94 = 77,794.92 : x
  2. Step 2: Convert to fraction form
    235,595.88/353,318.94 = 77,794.92/x
  3. Step 3: Cross multiply
    235,595.88x = 353,318.94 × 77,794.92
  4. Step 4: Simplify right side
    235,595.88x = 27,486,418,671.78
  5. Step 5: Solve for x
    x = 27,486,418,671.78/235,595.88
  6. Step 6: Final answer
    x = 116,667.65

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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.