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Finding the Fourth Proportional to 176,129.76, 264,243.78 and 71,022

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Solution

The fourth proportional to 176,129.76, 264,243.78 and 71,022 is: 106,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,129.76 : 264,243.78 = 71,022 : x
  2. Step 2: Convert to fraction form
    176,129.76/264,243.78 = 71,022/x
  3. Step 3: Cross multiply
    176,129.76x = 264,243.78 × 71,022
  4. Step 4: Simplify right side
    176,129.76x = 18,767,121,743.16
  5. Step 5: Solve for x
    x = 18,767,121,743.16/176,129.76
  6. Step 6: Final answer
    x = 106,552.82

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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.