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Finding the Fourth Proportional to 205,415.10, 308,165.85 and 116,595.90

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Solution

The fourth proportional to 205,415.10, 308,165.85 and 116,595.90 is: 174,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.10 : 308,165.85 = 116,595.90 : x
  2. Step 2: Convert to fraction form
    205,415.10/308,165.85 = 116,595.90/x
  3. Step 3: Cross multiply
    205,415.10x = 308,165.85 × 116,595.90
  4. Step 4: Simplify right side
    205,415.10x = 35,930,874,630.02
  5. Step 5: Solve for x
    x = 35,930,874,630.02/205,415.10
  6. Step 6: Final answer
    x = 174,918.37

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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.