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Finding the Fourth Proportional to 150,403.34, 225,611.78 and 49,207.16

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Solution

The fourth proportional to 150,403.34, 225,611.78 and 49,207.16 is: 73,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,403.34 : 225,611.78 = 49,207.16 : x
  2. Step 2: Convert to fraction form
    150,403.34/225,611.78 = 49,207.16/x
  3. Step 3: Cross multiply
    150,403.34x = 225,611.78 × 49,207.16
  4. Step 4: Simplify right side
    150,403.34x = 11,101,715,274.34
  5. Step 5: Solve for x
    x = 11,101,715,274.34/150,403.34
  6. Step 6: Final answer
    x = 73,812.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.