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Finding the Fourth Proportional to 550,142.88, 825,225.84 and 176,164.80

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Solution

The fourth proportional to 550,142.88, 825,225.84 and 176,164.80 is: 264,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,142.88 : 825,225.84 = 176,164.80 : x
  2. Step 2: Convert to fraction form
    550,142.88/825,225.84 = 176,164.80/x
  3. Step 3: Cross multiply
    550,142.88x = 825,225.84 × 176,164.80
  4. Step 4: Simplify right side
    550,142.88x = 145,375,745,058.43
  5. Step 5: Solve for x
    x = 145,375,745,058.43/550,142.88
  6. Step 6: Final answer
    x = 264,250.89

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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.