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Finding the Fourth Proportional to 305,526.92, 458,295.53 and 105,853.19

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Solution

The fourth proportional to 305,526.92, 458,295.53 and 105,853.19 is: 158,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,526.92 : 458,295.53 = 105,853.19 : x
  2. Step 2: Convert to fraction form
    305,526.92/458,295.53 = 105,853.19/x
  3. Step 3: Cross multiply
    305,526.92x = 458,295.53 × 105,853.19
  4. Step 4: Simplify right side
    305,526.92x = 48,512,040,992.50
  5. Step 5: Solve for x
    x = 48,512,040,992.50/305,526.92
  6. Step 6: Final answer
    x = 158,781.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.