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Finding the Fourth Proportional to 146,390.58, 202,016.70 and 82,724.58

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Solution

The fourth proportional to 146,390.58, 202,016.70 and 82,724.58 is: 114,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,390.58 : 202,016.70 = 82,724.58 : x
  2. Step 2: Convert to fraction form
    146,390.58/202,016.70 = 82,724.58/x
  3. Step 3: Cross multiply
    146,390.58x = 202,016.70 × 82,724.58
  4. Step 4: Simplify right side
    146,390.58x = 16,711,746,660.49
  5. Step 5: Solve for x
    x = 16,711,746,660.49/146,390.58
  6. Step 6: Final answer
    x = 114,158.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.