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Finding the Fourth Proportional to 118,961.64, 164,167.88 and 65,247.03

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Solution

The fourth proportional to 118,961.64, 164,167.88 and 65,247.03 is: 90,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,961.64 : 164,167.88 = 65,247.03 : x
  2. Step 2: Convert to fraction form
    118,961.64/164,167.88 = 65,247.03/x
  3. Step 3: Cross multiply
    118,961.64x = 164,167.88 × 65,247.03
  4. Step 4: Simplify right side
    118,961.64x = 10,711,466,265.16
  5. Step 5: Solve for x
    x = 10,711,466,265.16/118,961.64
  6. Step 6: Final answer
    x = 90,041.35

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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.