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Finding the Fourth Proportional to 133,475.42, 200,213 and 44,728.98

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Solution

The fourth proportional to 133,475.42, 200,213 and 44,728.98 is: 67,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,475.42 : 200,213 = 44,728.98 : x
  2. Step 2: Convert to fraction form
    133,475.42/200,213 = 44,728.98/x
  3. Step 3: Cross multiply
    133,475.42x = 200,213 × 44,728.98
  4. Step 4: Simplify right side
    133,475.42x = 8,955,323,272.74
  5. Step 5: Solve for x
    x = 8,955,323,272.74/133,475.42
  6. Step 6: Final answer
    x = 67,093.43

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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.