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Finding the Fourth Proportional to 118,932.64, 164,122.60 and 65,216.40

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Solution

The fourth proportional to 118,932.64, 164,122.60 and 65,216.40 is: 89,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,932.64 : 164,122.60 = 65,216.40 : x
  2. Step 2: Convert to fraction form
    118,932.64/164,122.60 = 65,216.40/x
  3. Step 3: Cross multiply
    118,932.64x = 164,122.60 × 65,216.40
  4. Step 4: Simplify right side
    118,932.64x = 10,703,485,130.64
  5. Step 5: Solve for x
    x = 10,703,485,130.64/118,932.64
  6. Step 6: Final answer
    x = 89,996.20

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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.