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Finding the Fourth Proportional to 97,064.52, 133,874.22 and 85,107.84

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Solution

The fourth proportional to 97,064.52, 133,874.22 and 85,107.84 is: 117,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,064.52 : 133,874.22 = 85,107.84 : x
  2. Step 2: Convert to fraction form
    97,064.52/133,874.22 = 85,107.84/x
  3. Step 3: Cross multiply
    97,064.52x = 133,874.22 × 85,107.84
  4. Step 4: Simplify right side
    97,064.52x = 11,393,745,695.88
  5. Step 5: Solve for x
    x = 11,393,745,695.88/97,064.52
  6. Step 6: Final answer
    x = 117,383.22

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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.