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Finding the Fourth Proportional to 150,261.72, 225,407.69 and 55,516.78

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Solution

The fourth proportional to 150,261.72, 225,407.69 and 55,516.78 is: 83,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,261.72 : 225,407.69 = 55,516.78 : x
  2. Step 2: Convert to fraction form
    150,261.72/225,407.69 = 55,516.78/x
  3. Step 3: Cross multiply
    150,261.72x = 225,407.69 × 55,516.78
  4. Step 4: Simplify right side
    150,261.72x = 12,513,909,136.04
  5. Step 5: Solve for x
    x = 12,513,909,136.04/150,261.72
  6. Step 6: Final answer
    x = 83,280.75

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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.