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Finding the Fourth Proportional to 176,596.32, 264,894.41 and 51,937.32

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Solution

The fourth proportional to 176,596.32, 264,894.41 and 51,937.32 is: 77,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,596.32 : 264,894.41 = 51,937.32 : x
  2. Step 2: Convert to fraction form
    176,596.32/264,894.41 = 51,937.32/x
  3. Step 3: Cross multiply
    176,596.32x = 264,894.41 × 51,937.32
  4. Step 4: Simplify right side
    176,596.32x = 13,757,906,472.05
  5. Step 5: Solve for x
    x = 13,757,906,472.05/176,596.32
  6. Step 6: Final answer
    x = 77,905.96

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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.