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Finding the Fourth Proportional to 180,461.16, 270,513.18 and 85,524.48

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Solution

The fourth proportional to 180,461.16, 270,513.18 and 85,524.48 is: 128,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,461.16 : 270,513.18 = 85,524.48 : x
  2. Step 2: Convert to fraction form
    180,461.16/270,513.18 = 85,524.48/x
  3. Step 3: Cross multiply
    180,461.16x = 270,513.18 × 85,524.48
  4. Step 4: Simplify right side
    180,461.16x = 23,135,499,052.65
  5. Step 5: Solve for x
    x = 23,135,499,052.65/180,461.16
  6. Step 6: Final answer
    x = 128,202.10

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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.