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Finding the Fourth Proportional to 206,974.84, 310,216.20 and 185,815.60

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Solution

The fourth proportional to 206,974.84, 310,216.20 and 185,815.60 is: 278,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,974.84 : 310,216.20 = 185,815.60 : x
  2. Step 2: Convert to fraction form
    206,974.84/310,216.20 = 185,815.60/x
  3. Step 3: Cross multiply
    206,974.84x = 310,216.20 × 185,815.60
  4. Step 4: Simplify right side
    206,974.84x = 57,643,009,332.72
  5. Step 5: Solve for x
    x = 57,643,009,332.72/206,974.84
  6. Step 6: Final answer
    x = 278,502.49

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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.