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Finding the Fourth Proportional to 176,299, 264,448.52 and 44,971

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Solution

The fourth proportional to 176,299, 264,448.52 and 44,971 is: 67,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,299 : 264,448.52 = 44,971 : x
  2. Step 2: Convert to fraction form
    176,299/264,448.52 = 44,971/x
  3. Step 3: Cross multiply
    176,299x = 264,448.52 × 44,971
  4. Step 4: Simplify right side
    176,299x = 11,892,514,392.92
  5. Step 5: Solve for x
    x = 11,892,514,392.92/176,299
  6. Step 6: Final answer
    x = 67,456.51

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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.