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Finding the Fourth Proportional to 116,415.56, 160,672.80 and 68,680.64

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Solution

The fourth proportional to 116,415.56, 160,672.80 and 68,680.64 is: 94,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,415.56 : 160,672.80 = 68,680.64 : x
  2. Step 2: Convert to fraction form
    116,415.56/160,672.80 = 68,680.64/x
  3. Step 3: Cross multiply
    116,415.56x = 160,672.80 × 68,680.64
  4. Step 4: Simplify right side
    116,415.56x = 11,035,110,734.59
  5. Step 5: Solve for x
    x = 11,035,110,734.59/116,415.56
  6. Step 6: Final answer
    x = 94,790.69

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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.