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Finding the Fourth Proportional to 180,842.40, 271,004.40 and 133,084.80

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Solution

The fourth proportional to 180,842.40, 271,004.40 and 133,084.80 is: 199,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,842.40 : 271,004.40 = 133,084.80 : x
  2. Step 2: Convert to fraction form
    180,842.40/271,004.40 = 133,084.80/x
  3. Step 3: Cross multiply
    180,842.40x = 271,004.40 × 133,084.80
  4. Step 4: Simplify right side
    180,842.40x = 36,066,566,373.12
  5. Step 5: Solve for x
    x = 36,066,566,373.12/180,842.40
  6. Step 6: Final answer
    x = 199,436.45

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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.