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Finding the Fourth Proportional to 180,933.60, 271,400.40 and 133,694.40

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Solution

The fourth proportional to 180,933.60, 271,400.40 and 133,694.40 is: 200,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,933.60 : 271,400.40 = 133,694.40 : x
  2. Step 2: Convert to fraction form
    180,933.60/271,400.40 = 133,694.40/x
  3. Step 3: Cross multiply
    180,933.60x = 271,400.40 × 133,694.40
  4. Step 4: Simplify right side
    180,933.60x = 36,284,713,637.76
  5. Step 5: Solve for x
    x = 36,284,713,637.76/180,933.60
  6. Step 6: Final answer
    x = 200,541.60

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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.