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Finding the Fourth Proportional to 120,135.78, 165,596.52 and 94,601.64

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Solution

The fourth proportional to 120,135.78, 165,596.52 and 94,601.64 is: 130,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,135.78 : 165,596.52 = 94,601.64 : x
  2. Step 2: Convert to fraction form
    120,135.78/165,596.52 = 94,601.64/x
  3. Step 3: Cross multiply
    120,135.78x = 165,596.52 × 94,601.64
  4. Step 4: Simplify right side
    120,135.78x = 15,665,702,370.29
  5. Step 5: Solve for x
    x = 15,665,702,370.29/120,135.78
  6. Step 6: Final answer
    x = 130,399.97

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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.