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Finding the Fourth Proportional to 176,524.50, 264,786.75 and 51,865.50

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Solution

The fourth proportional to 176,524.50, 264,786.75 and 51,865.50 is: 77,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,524.50 : 264,786.75 = 51,865.50 : x
  2. Step 2: Convert to fraction form
    176,524.50/264,786.75 = 51,865.50/x
  3. Step 3: Cross multiply
    176,524.50x = 264,786.75 × 51,865.50
  4. Step 4: Simplify right side
    176,524.50x = 13,733,297,182.13
  5. Step 5: Solve for x
    x = 13,733,297,182.13/176,524.50
  6. Step 6: Final answer
    x = 77,798.25

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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.