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Finding the Fourth Proportional to 362,463.96, 543,794.37 and 109,752.93

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Solution

The fourth proportional to 362,463.96, 543,794.37 and 109,752.93 is: 164,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,463.96 : 543,794.37 = 109,752.93 : x
  2. Step 2: Convert to fraction form
    362,463.96/543,794.37 = 109,752.93/x
  3. Step 3: Cross multiply
    362,463.96x = 543,794.37 × 109,752.93
  4. Step 4: Simplify right side
    362,463.96x = 59,683,025,013.43
  5. Step 5: Solve for x
    x = 59,683,025,013.43/362,463.96
  6. Step 6: Final answer
    x = 164,659.20

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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.