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Finding the Fourth Proportional to 116,431.44, 174,480.30 and 66,408

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Solution

The fourth proportional to 116,431.44, 174,480.30 and 66,408 is: 99,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,431.44 : 174,480.30 = 66,408 : x
  2. Step 2: Convert to fraction form
    116,431.44/174,480.30 = 66,408/x
  3. Step 3: Cross multiply
    116,431.44x = 174,480.30 × 66,408
  4. Step 4: Simplify right side
    116,431.44x = 11,586,887,762.40
  5. Step 5: Solve for x
    x = 11,586,887,762.40/116,431.44
  6. Step 6: Final answer
    x = 99,516.83

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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.