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Finding the Fourth Proportional to 204,842.80, 307,920.30 and 146,085.40

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Solution

The fourth proportional to 204,842.80, 307,920.30 and 146,085.40 is: 219,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,842.80 : 307,920.30 = 146,085.40 : x
  2. Step 2: Convert to fraction form
    204,842.80/307,920.30 = 146,085.40/x
  3. Step 3: Cross multiply
    204,842.80x = 307,920.30 × 146,085.40
  4. Step 4: Simplify right side
    204,842.80x = 44,982,660,193.62
  5. Step 5: Solve for x
    x = 44,982,660,193.62/204,842.80
  6. Step 6: Final answer
    x = 219,596.00

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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.