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Finding the Fourth Proportional to 174,524.63, 261,786.94 and 56,207.93

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Solution

The fourth proportional to 174,524.63, 261,786.94 and 56,207.93 is: 84,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,524.63 : 261,786.94 = 56,207.93 : x
  2. Step 2: Convert to fraction form
    174,524.63/261,786.94 = 56,207.93/x
  3. Step 3: Cross multiply
    174,524.63x = 261,786.94 × 56,207.93
  4. Step 4: Simplify right side
    174,524.63x = 14,714,500,548.98
  5. Step 5: Solve for x
    x = 14,714,500,548.98/174,524.63
  6. Step 6: Final answer
    x = 84,311.89

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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.