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Finding the Fourth Proportional to 180,960.93, 271,264.90 and 86,165.64

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Solution

The fourth proportional to 180,960.93, 271,264.90 and 86,165.64 is: 129,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,960.93 : 271,264.90 = 86,165.64 : x
  2. Step 2: Convert to fraction form
    180,960.93/271,264.90 = 86,165.64/x
  3. Step 3: Cross multiply
    180,960.93x = 271,264.90 × 86,165.64
  4. Step 4: Simplify right side
    180,960.93x = 23,373,714,519.87
  5. Step 5: Solve for x
    x = 23,373,714,519.87/180,960.93
  6. Step 6: Final answer
    x = 129,164.43

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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.