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Finding the Fourth Proportional to 362,093.41, 543,190.86 and 109,345.24

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Solution

The fourth proportional to 362,093.41, 543,190.86 and 109,345.24 is: 164,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,093.41 : 543,190.86 = 109,345.24 : x
  2. Step 2: Convert to fraction form
    362,093.41/543,190.86 = 109,345.24/x
  3. Step 3: Cross multiply
    362,093.41x = 543,190.86 × 109,345.24
  4. Step 4: Simplify right side
    362,093.41x = 59,395,334,952.51
  5. Step 5: Solve for x
    x = 59,395,334,952.51/362,093.41
  6. Step 6: Final answer
    x = 164,033.18

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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.