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Finding the Fourth Proportional to 294,660.10, 442,022.55 and 107,712.10

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Solution

The fourth proportional to 294,660.10, 442,022.55 and 107,712.10 is: 161,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,660.10 : 442,022.55 = 107,712.10 : x
  2. Step 2: Convert to fraction form
    294,660.10/442,022.55 = 107,712.10/x
  3. Step 3: Cross multiply
    294,660.10x = 442,022.55 × 107,712.10
  4. Step 4: Simplify right side
    294,660.10x = 47,611,177,107.86
  5. Step 5: Solve for x
    x = 47,611,177,107.86/294,660.10
  6. Step 6: Final answer
    x = 161,579.99

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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.