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Finding the Fourth Proportional to 176,464.20, 264,869.10 and 87,817.80

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Solution

The fourth proportional to 176,464.20, 264,869.10 and 87,817.80 is: 131,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,464.20 : 264,869.10 = 87,817.80 : x
  2. Step 2: Convert to fraction form
    176,464.20/264,869.10 = 87,817.80/x
  3. Step 3: Cross multiply
    176,464.20x = 264,869.10 × 87,817.80
  4. Step 4: Simplify right side
    176,464.20x = 23,260,221,649.98
  5. Step 5: Solve for x
    x = 23,260,221,649.98/176,464.20
  6. Step 6: Final answer
    x = 131,812.69

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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.