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Finding the Fourth Proportional to 189,728.64, 261,835.60 and 109,168.40

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Solution

The fourth proportional to 189,728.64, 261,835.60 and 109,168.40 is: 150,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,728.64 : 261,835.60 = 109,168.40 : x
  2. Step 2: Convert to fraction form
    189,728.64/261,835.60 = 109,168.40/x
  3. Step 3: Cross multiply
    189,728.64x = 261,835.60 × 109,168.40
  4. Step 4: Simplify right side
    189,728.64x = 28,584,173,515.04
  5. Step 5: Solve for x
    x = 28,584,173,515.04/189,728.64
  6. Step 6: Final answer
    x = 150,658.19

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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.