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Finding the Fourth Proportional to 174,564.92, 261,847.60 and 56,253.88

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Solution

The fourth proportional to 174,564.92, 261,847.60 and 56,253.88 is: 84,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,564.92 : 261,847.60 = 56,253.88 : x
  2. Step 2: Convert to fraction form
    174,564.92/261,847.60 = 56,253.88/x
  3. Step 3: Cross multiply
    174,564.92x = 261,847.60 × 56,253.88
  4. Step 4: Simplify right side
    174,564.92x = 14,729,943,468.69
  5. Step 5: Solve for x
    x = 14,729,943,468.69/174,564.92
  6. Step 6: Final answer
    x = 84,380.89

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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.