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Finding the Fourth Proportional to 97,199.52, 134,134.75 and 54,771.72

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Solution

The fourth proportional to 97,199.52, 134,134.75 and 54,771.72 is: 75,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,199.52 : 134,134.75 = 54,771.72 : x
  2. Step 2: Convert to fraction form
    97,199.52/134,134.75 = 54,771.72/x
  3. Step 3: Cross multiply
    97,199.52x = 134,134.75 × 54,771.72
  4. Step 4: Simplify right side
    97,199.52x = 7,346,790,969.27
  5. Step 5: Solve for x
    x = 7,346,790,969.27/97,199.52
  6. Step 6: Final answer
    x = 75,584.64

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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.