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Finding the Fourth Proportional to 310,108.16, 465,163.96 and 110,436.32

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Solution

The fourth proportional to 310,108.16, 465,163.96 and 110,436.32 is: 165,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,108.16 : 465,163.96 = 110,436.32 : x
  2. Step 2: Convert to fraction form
    310,108.16/465,163.96 = 110,436.32/x
  3. Step 3: Cross multiply
    310,108.16x = 465,163.96 × 110,436.32
  4. Step 4: Simplify right side
    310,108.16x = 51,370,995,939.03
  5. Step 5: Solve for x
    x = 51,370,995,939.03/310,108.16
  6. Step 6: Final answer
    x = 165,655.09

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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.