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Finding the Fourth Proportional to 305,076.96, 457,632.87 and 102,591.81

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Solution

The fourth proportional to 305,076.96, 457,632.87 and 102,591.81 is: 153,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,076.96 : 457,632.87 = 102,591.81 : x
  2. Step 2: Convert to fraction form
    305,076.96/457,632.87 = 102,591.81/x
  3. Step 3: Cross multiply
    305,076.96x = 457,632.87 × 102,591.81
  4. Step 4: Simplify right side
    305,076.96x = 46,949,384,448.79
  5. Step 5: Solve for x
    x = 46,949,384,448.79/305,076.96
  6. Step 6: Final answer
    x = 153,893.58

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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.