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Finding the Fourth Proportional to 180,466.94, 271,191.13 and 96,286.58

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Solution

The fourth proportional to 180,466.94, 271,191.13 and 96,286.58 is: 144,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,466.94 : 271,191.13 = 96,286.58 : x
  2. Step 2: Convert to fraction form
    180,466.94/271,191.13 = 96,286.58/x
  3. Step 3: Cross multiply
    180,466.94x = 271,191.13 × 96,286.58
  4. Step 4: Simplify right side
    180,466.94x = 26,112,066,434.04
  5. Step 5: Solve for x
    x = 26,112,066,434.04/180,466.94
  6. Step 6: Final answer
    x = 144,691.69

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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.