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Finding the Fourth Proportional to 305,862.69, 458,798.66 and 106,189.43

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Solution

The fourth proportional to 305,862.69, 458,798.66 and 106,189.43 is: 159,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862.69 : 458,798.66 = 106,189.43 : x
  2. Step 2: Convert to fraction form
    305,862.69/458,798.66 = 106,189.43/x
  3. Step 3: Cross multiply
    305,862.69x = 458,798.66 × 106,189.43
  4. Step 4: Simplify right side
    305,862.69x = 48,719,568,190.16
  5. Step 5: Solve for x
    x = 48,719,568,190.16/305,862.69
  6. Step 6: Final answer
    x = 159,285.75

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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.