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Finding the Fourth Proportional to 176,168.40, 264,261.84 and 49,817.88

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Solution

The fourth proportional to 176,168.40, 264,261.84 and 49,817.88 is: 74,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,168.40 : 264,261.84 = 49,817.88 : x
  2. Step 2: Convert to fraction form
    176,168.40/264,261.84 = 49,817.88/x
  3. Step 3: Cross multiply
    176,168.40x = 264,261.84 × 49,817.88
  4. Step 4: Simplify right side
    176,168.40x = 13,164,964,633.70
  5. Step 5: Solve for x
    x = 13,164,964,633.70/176,168.40
  6. Step 6: Final answer
    x = 74,729.43

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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.