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Finding the Fourth Proportional to 176,105.47, 264,153.48 and 49,754.44

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Solution

The fourth proportional to 176,105.47, 264,153.48 and 49,754.44 is: 74,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,105.47 : 264,153.48 = 49,754.44 : x
  2. Step 2: Convert to fraction form
    176,105.47/264,153.48 = 49,754.44/x
  3. Step 3: Cross multiply
    176,105.47x = 264,153.48 × 49,754.44
  4. Step 4: Simplify right side
    176,105.47x = 13,142,808,471.45
  5. Step 5: Solve for x
    x = 13,142,808,471.45/176,105.47
  6. Step 6: Final answer
    x = 74,630.33

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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.