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Finding the Fourth Proportional to 204,423.40, 282,101.41 and 113,779.39

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Solution

The fourth proportional to 204,423.40, 282,101.41 and 113,779.39 is: 157,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,423.40 : 282,101.41 = 113,779.39 : x
  2. Step 2: Convert to fraction form
    204,423.40/282,101.41 = 113,779.39/x
  3. Step 3: Cross multiply
    204,423.40x = 282,101.41 × 113,779.39
  4. Step 4: Simplify right side
    204,423.40x = 32,097,324,937.43
  5. Step 5: Solve for x
    x = 32,097,324,937.43/204,423.40
  6. Step 6: Final answer
    x = 157,013.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.