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Finding the Fourth Proportional to 102,223.95, 153,361.43 and 35,664.63

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Solution

The fourth proportional to 102,223.95, 153,361.43 and 35,664.63 is: 53,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,223.95 : 153,361.43 = 35,664.63 : x
  2. Step 2: Convert to fraction form
    102,223.95/153,361.43 = 35,664.63/x
  3. Step 3: Cross multiply
    102,223.95x = 153,361.43 × 35,664.63
  4. Step 4: Simplify right side
    102,223.95x = 5,469,578,657.22
  5. Step 5: Solve for x
    x = 5,469,578,657.22/102,223.95
  6. Step 6: Final answer
    x = 53,505.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.