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Finding the Fourth Proportional to 118,088, 162,961.44 and 65,096

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Solution

The fourth proportional to 118,088, 162,961.44 and 65,096 is: 89,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,088 : 162,961.44 = 65,096 : x
  2. Step 2: Convert to fraction form
    118,088/162,961.44 = 65,096/x
  3. Step 3: Cross multiply
    118,088x = 162,961.44 × 65,096
  4. Step 4: Simplify right side
    118,088x = 10,608,137,898.24
  5. Step 5: Solve for x
    x = 10,608,137,898.24/118,088
  6. Step 6: Final answer
    x = 89,832.48

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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.