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Finding the Fourth Proportional to 310,246.56, 465,444.63 and 107,813.25

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Solution

The fourth proportional to 310,246.56, 465,444.63 and 107,813.25 is: 161,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,246.56 : 465,444.63 = 107,813.25 : x
  2. Step 2: Convert to fraction form
    310,246.56/465,444.63 = 107,813.25/x
  3. Step 3: Cross multiply
    310,246.56x = 465,444.63 × 107,813.25
  4. Step 4: Simplify right side
    310,246.56x = 50,181,098,255.35
  5. Step 5: Solve for x
    x = 50,181,098,255.35/310,246.56
  6. Step 6: Final answer
    x = 161,745.87

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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.