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Finding the Fourth Proportional to 177,064.88, 265,452.53 and 82,354.10

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Solution

The fourth proportional to 177,064.88, 265,452.53 and 82,354.10 is: 123,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,064.88 : 265,452.53 = 82,354.10 : x
  2. Step 2: Convert to fraction form
    177,064.88/265,452.53 = 82,354.10/x
  3. Step 3: Cross multiply
    177,064.88x = 265,452.53 × 82,354.10
  4. Step 4: Simplify right side
    177,064.88x = 21,861,102,461.84
  5. Step 5: Solve for x
    x = 21,861,102,461.84/177,064.88
  6. Step 6: Final answer
    x = 123,463.80

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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.