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Finding the Fourth Proportional to 305,515.68, 458,212.56 and 103,092

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Solution

The fourth proportional to 305,515.68, 458,212.56 and 103,092 is: 154,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,515.68 : 458,212.56 = 103,092 : x
  2. Step 2: Convert to fraction form
    305,515.68/458,212.56 = 103,092/x
  3. Step 3: Cross multiply
    305,515.68x = 458,212.56 × 103,092
  4. Step 4: Simplify right side
    305,515.68x = 47,238,049,235.52
  5. Step 5: Solve for x
    x = 47,238,049,235.52/305,515.68
  6. Step 6: Final answer
    x = 154,617.43

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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.