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Finding the Fourth Proportional to 176,123.86, 264,171.74 and 49,759

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Solution

The fourth proportional to 176,123.86, 264,171.74 and 49,759 is: 74,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,123.86 : 264,171.74 = 49,759 : x
  2. Step 2: Convert to fraction form
    176,123.86/264,171.74 = 49,759/x
  3. Step 3: Cross multiply
    176,123.86x = 264,171.74 × 49,759
  4. Step 4: Simplify right side
    176,123.86x = 13,144,921,610.66
  5. Step 5: Solve for x
    x = 13,144,921,610.66/176,123.86
  6. Step 6: Final answer
    x = 74,634.53

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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.