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Finding the Fourth Proportional to 205,506.82, 308,258.79 and 105,694.84

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Solution

The fourth proportional to 205,506.82, 308,258.79 and 105,694.84 is: 158,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,506.82 : 308,258.79 = 105,694.84 : x
  2. Step 2: Convert to fraction form
    205,506.82/308,258.79 = 105,694.84/x
  3. Step 3: Cross multiply
    205,506.82x = 308,258.79 × 105,694.84
  4. Step 4: Simplify right side
    205,506.82x = 32,581,363,487.64
  5. Step 5: Solve for x
    x = 32,581,363,487.64/205,506.82
  6. Step 6: Final answer
    x = 158,541.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.