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Finding the Fourth Proportional to 305,350.92, 458,057.85 and 105,671.01

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Solution

The fourth proportional to 305,350.92, 458,057.85 and 105,671.01 is: 158,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,350.92 : 458,057.85 = 105,671.01 : x
  2. Step 2: Convert to fraction form
    305,350.92/458,057.85 = 105,671.01/x
  3. Step 3: Cross multiply
    305,350.92x = 458,057.85 × 105,671.01
  4. Step 4: Simplify right side
    305,350.92x = 48,403,435,647.93
  5. Step 5: Solve for x
    x = 48,403,435,647.93/305,350.92
  6. Step 6: Final answer
    x = 158,517.41

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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.