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Finding the Fourth Proportional to 152,344.94, 210,234.84 and 84,361.64

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Solution

The fourth proportional to 152,344.94, 210,234.84 and 84,361.64 is: 116,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,344.94 : 210,234.84 = 84,361.64 : x
  2. Step 2: Convert to fraction form
    152,344.94/210,234.84 = 84,361.64/x
  3. Step 3: Cross multiply
    152,344.94x = 210,234.84 × 84,361.64
  4. Step 4: Simplify right side
    152,344.94x = 17,735,755,887.54
  5. Step 5: Solve for x
    x = 17,735,755,887.54/152,344.94
  6. Step 6: Final answer
    x = 116,418.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.