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Finding the Fourth Proportional to 176,555, 264,834.94 and 97,823

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Solution

The fourth proportional to 176,555, 264,834.94 and 97,823 is: 146,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,555 : 264,834.94 = 97,823 : x
  2. Step 2: Convert to fraction form
    176,555/264,834.94 = 97,823/x
  3. Step 3: Cross multiply
    176,555x = 264,834.94 × 97,823
  4. Step 4: Simplify right side
    176,555x = 25,906,948,335.62
  5. Step 5: Solve for x
    x = 25,906,948,335.62/176,555
  6. Step 6: Final answer
    x = 146,735.85

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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.