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Finding the Fourth Proportional to 97,144.46, 134,059.86 and 56,850.38

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Solution

The fourth proportional to 97,144.46, 134,059.86 and 56,850.38 is: 78,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,144.46 : 134,059.86 = 56,850.38 : x
  2. Step 2: Convert to fraction form
    97,144.46/134,059.86 = 56,850.38/x
  3. Step 3: Cross multiply
    97,144.46x = 134,059.86 × 56,850.38
  4. Step 4: Simplify right side
    97,144.46x = 7,621,353,983.75
  5. Step 5: Solve for x
    x = 7,621,353,983.75/97,144.46
  6. Step 6: Final answer
    x = 78,453.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.