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Finding the Fourth Proportional to 177,682.88, 266,570.49 and 53,023.88

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Solution

The fourth proportional to 177,682.88, 266,570.49 and 53,023.88 is: 79,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,682.88 : 266,570.49 = 53,023.88 : x
  2. Step 2: Convert to fraction form
    177,682.88/266,570.49 = 53,023.88/x
  3. Step 3: Cross multiply
    177,682.88x = 266,570.49 × 53,023.88
  4. Step 4: Simplify right side
    177,682.88x = 14,134,601,673.30
  5. Step 5: Solve for x
    x = 14,134,601,673.30/177,682.88
  6. Step 6: Final answer
    x = 79,549.60

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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.