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Finding the Fourth Proportional to 176,575.64, 264,857.54 and 76,735.83

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Solution

The fourth proportional to 176,575.64, 264,857.54 and 76,735.83 is: 115,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,575.64 : 264,857.54 = 76,735.83 : x
  2. Step 2: Convert to fraction form
    176,575.64/264,857.54 = 76,735.83/x
  3. Step 3: Cross multiply
    176,575.64x = 264,857.54 × 76,735.83
  4. Step 4: Simplify right side
    176,575.64x = 20,324,062,989.89
  5. Step 5: Solve for x
    x = 20,324,062,989.89/176,575.64
  6. Step 6: Final answer
    x = 115,101.17

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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.