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Finding the Fourth Proportional to 204,695.28, 306,809.64 and 93,654

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Solution

The fourth proportional to 204,695.28, 306,809.64 and 93,654 is: 140,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,695.28 : 306,809.64 = 93,654 : x
  2. Step 2: Convert to fraction form
    204,695.28/306,809.64 = 93,654/x
  3. Step 3: Cross multiply
    204,695.28x = 306,809.64 × 93,654
  4. Step 4: Simplify right side
    204,695.28x = 28,733,950,024.56
  5. Step 5: Solve for x
    x = 28,733,950,024.56/204,695.28
  6. Step 6: Final answer
    x = 140,374.27

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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.