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Finding the Fourth Proportional to 205,029.40, 307,544.10 and 188,440.60

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Solution

The fourth proportional to 205,029.40, 307,544.10 and 188,440.60 is: 282,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,029.40 : 307,544.10 = 188,440.60 : x
  2. Step 2: Convert to fraction form
    205,029.40/307,544.10 = 188,440.60/x
  3. Step 3: Cross multiply
    205,029.40x = 307,544.10 × 188,440.60
  4. Step 4: Simplify right side
    205,029.40x = 57,953,794,730.46
  5. Step 5: Solve for x
    x = 57,953,794,730.46/205,029.40
  6. Step 6: Final answer
    x = 282,660.90

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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.