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Finding the Fourth Proportional to 362,117.16, 543,181.38 and 137,418.24

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Solution

The fourth proportional to 362,117.16, 543,181.38 and 137,418.24 is: 206,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,117.16 : 543,181.38 = 137,418.24 : x
  2. Step 2: Convert to fraction form
    362,117.16/543,181.38 = 137,418.24/x
  3. Step 3: Cross multiply
    362,117.16x = 543,181.38 × 137,418.24
  4. Step 4: Simplify right side
    362,117.16x = 74,643,029,240.37
  5. Step 5: Solve for x
    x = 74,643,029,240.37/362,117.16
  6. Step 6: Final answer
    x = 206,129.50

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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.