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Finding the Fourth Proportional to 118,911.64, 164,093.62 and 65,195.40

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Solution

The fourth proportional to 118,911.64, 164,093.62 and 65,195.40 is: 89,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,911.64 : 164,093.62 = 65,195.40 : x
  2. Step 2: Convert to fraction form
    118,911.64/164,093.62 = 65,195.40/x
  3. Step 3: Cross multiply
    118,911.64x = 164,093.62 × 65,195.40
  4. Step 4: Simplify right side
    118,911.64x = 10,698,149,193.35
  5. Step 5: Solve for x
    x = 10,698,149,193.35/118,911.64
  6. Step 6: Final answer
    x = 89,967.22

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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.