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Finding the Fourth Proportional to 118,952.16, 178,458.24 and 83,960.16

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Solution

The fourth proportional to 118,952.16, 178,458.24 and 83,960.16 is: 125,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,952.16 : 178,458.24 = 83,960.16 : x
  2. Step 2: Convert to fraction form
    118,952.16/178,458.24 = 83,960.16/x
  3. Step 3: Cross multiply
    118,952.16x = 178,458.24 × 83,960.16
  4. Step 4: Simplify right side
    118,952.16x = 14,983,382,383.72
  5. Step 5: Solve for x
    x = 14,983,382,383.72/118,952.16
  6. Step 6: Final answer
    x = 125,961.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.