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Finding the Fourth Proportional to 176,534.37, 264,773.64 and 76,667.75

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Solution

The fourth proportional to 176,534.37, 264,773.64 and 76,667.75 is: 114,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,534.37 : 264,773.64 = 76,667.75 : x
  2. Step 2: Convert to fraction form
    176,534.37/264,773.64 = 76,667.75/x
  3. Step 3: Cross multiply
    176,534.37x = 264,773.64 × 76,667.75
  4. Step 4: Simplify right side
    176,534.37x = 20,299,599,238.11
  5. Step 5: Solve for x
    x = 20,299,599,238.11/176,534.37
  6. Step 6: Final answer
    x = 114,989.50

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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.