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Finding the Fourth Proportional to 174,594.64, 261,905.64 and 56,269.48

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Solution

The fourth proportional to 174,594.64, 261,905.64 and 56,269.48 is: 84,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,594.64 : 261,905.64 = 56,269.48 : x
  2. Step 2: Convert to fraction form
    174,594.64/261,905.64 = 56,269.48/x
  3. Step 3: Cross multiply
    174,594.64x = 261,905.64 × 56,269.48
  4. Step 4: Simplify right side
    174,594.64x = 14,737,294,171.87
  5. Step 5: Solve for x
    x = 14,737,294,171.87/174,594.64
  6. Step 6: Final answer
    x = 84,408.63

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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.