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Finding the Fourth Proportional to 205,983.70, 308,319.45 and 146,934.70

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Solution

The fourth proportional to 205,983.70, 308,319.45 and 146,934.70 is: 219,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,983.70 : 308,319.45 = 146,934.70 : x
  2. Step 2: Convert to fraction form
    205,983.70/308,319.45 = 146,934.70/x
  3. Step 3: Cross multiply
    205,983.70x = 308,319.45 × 146,934.70
  4. Step 4: Simplify right side
    205,983.70x = 45,302,825,889.92
  5. Step 5: Solve for x
    x = 45,302,825,889.92/205,983.70
  6. Step 6: Final answer
    x = 219,934.03

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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.