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Finding the Fourth Proportional to 120,149.64, 165,629.64 and 94,574.04

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Solution

The fourth proportional to 120,149.64, 165,629.64 and 94,574.04 is: 130,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,149.64 : 165,629.64 = 94,574.04 : x
  2. Step 2: Convert to fraction form
    120,149.64/165,629.64 = 94,574.04/x
  3. Step 3: Cross multiply
    120,149.64x = 165,629.64 × 94,574.04
  4. Step 4: Simplify right side
    120,149.64x = 15,664,264,198.55
  5. Step 5: Solve for x
    x = 15,664,264,198.55/120,149.64
  6. Step 6: Final answer
    x = 130,372.96

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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.