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Finding the Fourth Proportional to 114,207.64, 171,311.46 and 35,322.55

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Solution

The fourth proportional to 114,207.64, 171,311.46 and 35,322.55 is: 52,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,207.64 : 171,311.46 = 35,322.55 : x
  2. Step 2: Convert to fraction form
    114,207.64/171,311.46 = 35,322.55/x
  3. Step 3: Cross multiply
    114,207.64x = 171,311.46 × 35,322.55
  4. Step 4: Simplify right side
    114,207.64x = 6,051,157,611.42
  5. Step 5: Solve for x
    x = 6,051,157,611.42/114,207.64
  6. Step 6: Final answer
    x = 52,983.83

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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.