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Finding the Fourth Proportional to 118,930.64, 164,119.84 and 65,214.40

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Solution

The fourth proportional to 118,930.64, 164,119.84 and 65,214.40 is: 89,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,930.64 : 164,119.84 = 65,214.40 : x
  2. Step 2: Convert to fraction form
    118,930.64/164,119.84 = 65,214.40/x
  3. Step 3: Cross multiply
    118,930.64x = 164,119.84 × 65,214.40
  4. Step 4: Simplify right side
    118,930.64x = 10,702,976,893.70
  5. Step 5: Solve for x
    x = 10,702,976,893.70/118,930.64
  6. Step 6: Final answer
    x = 89,993.44

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1.5x scale

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.