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Finding the Fourth Proportional to 180,999.80, 271,538.72 and 54,629.47

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Solution

The fourth proportional to 180,999.80, 271,538.72 and 54,629.47 is: 81,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,999.80 : 271,538.72 = 54,629.47 : x
  2. Step 2: Convert to fraction form
    180,999.80/271,538.72 = 54,629.47/x
  3. Step 3: Cross multiply
    180,999.80x = 271,538.72 × 54,629.47
  4. Step 4: Simplify right side
    180,999.80x = 14,834,016,358.08
  5. Step 5: Solve for x
    x = 14,834,016,358.08/180,999.80
  6. Step 6: Final answer
    x = 81,955.98

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Why These Related Problems?

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