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Finding the Fourth Proportional to 180,678.40, 271,072.32 and 56,020.48

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Solution

The fourth proportional to 180,678.40, 271,072.32 and 56,020.48 is: 84,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678.40 : 271,072.32 = 56,020.48 : x
  2. Step 2: Convert to fraction form
    180,678.40/271,072.32 = 56,020.48/x
  3. Step 3: Cross multiply
    180,678.40x = 271,072.32 × 56,020.48
  4. Step 4: Simplify right side
    180,678.40x = 15,185,601,481.11
  5. Step 5: Solve for x
    x = 15,185,601,481.11/180,678.40
  6. Step 6: Final answer
    x = 84,047.69

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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.