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Finding the Fourth Proportional to 305,134.86, 457,706.67 and 94,759.50

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Solution

The fourth proportional to 305,134.86, 457,706.67 and 94,759.50 is: 142,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,134.86 : 457,706.67 = 94,759.50 : x
  2. Step 2: Convert to fraction form
    305,134.86/457,706.67 = 94,759.50/x
  3. Step 3: Cross multiply
    305,134.86x = 457,706.67 × 94,759.50
  4. Step 4: Simplify right side
    305,134.86x = 43,372,055,195.87
  5. Step 5: Solve for x
    x = 43,372,055,195.87/305,134.86
  6. Step 6: Final answer
    x = 142,140.61

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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.