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Finding the Fourth Proportional to 116,432.44, 174,481.80 and 66,409

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Solution

The fourth proportional to 116,432.44, 174,481.80 and 66,409 is: 99,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,432.44 : 174,481.80 = 66,409 : x
  2. Step 2: Convert to fraction form
    116,432.44/174,481.80 = 66,409/x
  3. Step 3: Cross multiply
    116,432.44x = 174,481.80 × 66,409
  4. Step 4: Simplify right side
    116,432.44x = 11,587,161,856.20
  5. Step 5: Solve for x
    x = 11,587,161,856.20/116,432.44
  6. Step 6: Final answer
    x = 99,518.33

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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.