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Finding the Fourth Proportional to 205,229.40, 307,844.10 and 111,917.40

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Solution

The fourth proportional to 205,229.40, 307,844.10 and 111,917.40 is: 167,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,229.40 : 307,844.10 = 111,917.40 : x
  2. Step 2: Convert to fraction form
    205,229.40/307,844.10 = 111,917.40/x
  3. Step 3: Cross multiply
    205,229.40x = 307,844.10 × 111,917.40
  4. Step 4: Simplify right side
    205,229.40x = 34,453,111,277.34
  5. Step 5: Solve for x
    x = 34,453,111,277.34/205,229.40
  6. Step 6: Final answer
    x = 167,876.10

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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.