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Finding the Fourth Proportional to 264,186.50, 364,611.70 and 147,944.22

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Solution

The fourth proportional to 264,186.50, 364,611.70 and 147,944.22 is: 204,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,186.50 : 364,611.70 = 147,944.22 : x
  2. Step 2: Convert to fraction form
    264,186.50/364,611.70 = 147,944.22/x
  3. Step 3: Cross multiply
    264,186.50x = 364,611.70 × 147,944.22
  4. Step 4: Simplify right side
    264,186.50x = 53,942,194,844.04
  5. Step 5: Solve for x
    x = 53,942,194,844.04/264,186.50
  6. Step 6: Final answer
    x = 204,182.25

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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.