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Finding the Fourth Proportional to 362,381.58, 543,603.21 and 109,664.22

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Solution

The fourth proportional to 362,381.58, 543,603.21 and 109,664.22 is: 164,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,381.58 : 543,603.21 = 109,664.22 : x
  2. Step 2: Convert to fraction form
    362,381.58/543,603.21 = 109,664.22/x
  3. Step 3: Cross multiply
    362,381.58x = 543,603.21 × 109,664.22
  4. Step 4: Simplify right side
    362,381.58x = 59,613,822,014.15
  5. Step 5: Solve for x
    x = 59,613,822,014.15/362,381.58
  6. Step 6: Final answer
    x = 164,505.66

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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.