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Finding the Fourth Proportional to 205,141.20, 307,711.80 and 195,464.40

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Solution

The fourth proportional to 205,141.20, 307,711.80 and 195,464.40 is: 293,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,141.20 : 307,711.80 = 195,464.40 : x
  2. Step 2: Convert to fraction form
    205,141.20/307,711.80 = 195,464.40/x
  3. Step 3: Cross multiply
    205,141.20x = 307,711.80 × 195,464.40
  4. Step 4: Simplify right side
    205,141.20x = 60,146,702,359.92
  5. Step 5: Solve for x
    x = 60,146,702,359.92/205,141.20
  6. Step 6: Final answer
    x = 293,196.60

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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.