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Finding the Fourth Proportional to 176,021.62, 264,047.95 and 49,662.97

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Solution

The fourth proportional to 176,021.62, 264,047.95 and 49,662.97 is: 74,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,021.62 : 264,047.95 = 49,662.97 : x
  2. Step 2: Convert to fraction form
    176,021.62/264,047.95 = 49,662.97/x
  3. Step 3: Cross multiply
    176,021.62x = 264,047.95 × 49,662.97
  4. Step 4: Simplify right side
    176,021.62x = 13,113,405,419.41
  5. Step 5: Solve for x
    x = 13,113,405,419.41/176,021.62
  6. Step 6: Final answer
    x = 74,498.83

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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.