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Finding the Fourth Proportional to 205,022.60, 307,620.30 and 111,595.40

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Solution

The fourth proportional to 205,022.60, 307,620.30 and 111,595.40 is: 167,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,022.60 : 307,620.30 = 111,595.40 : x
  2. Step 2: Convert to fraction form
    205,022.60/307,620.30 = 111,595.40/x
  3. Step 3: Cross multiply
    205,022.60x = 307,620.30 × 111,595.40
  4. Step 4: Simplify right side
    205,022.60x = 34,329,010,426.62
  5. Step 5: Solve for x
    x = 34,329,010,426.62/205,022.60
  6. Step 6: Final answer
    x = 167,440.13

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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.