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Finding the Fourth Proportional to 176,480.28, 264,503.54 and 81,582.10

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Solution

The fourth proportional to 176,480.28, 264,503.54 and 81,582.10 is: 122,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,480.28 : 264,503.54 = 81,582.10 : x
  2. Step 2: Convert to fraction form
    176,480.28/264,503.54 = 81,582.10/x
  3. Step 3: Cross multiply
    176,480.28x = 264,503.54 × 81,582.10
  4. Step 4: Simplify right side
    176,480.28x = 21,578,753,793.33
  5. Step 5: Solve for x
    x = 21,578,753,793.33/176,480.28
  6. Step 6: Final answer
    x = 122,272.89

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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.