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Finding the Fourth Proportional to 150,511.79, 225,767.70 and 57,017.54

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Solution

The fourth proportional to 150,511.79, 225,767.70 and 57,017.54 is: 85,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,511.79 : 225,767.70 = 57,017.54 : x
  2. Step 2: Convert to fraction form
    150,511.79/225,767.70 = 57,017.54/x
  3. Step 3: Cross multiply
    150,511.79x = 225,767.70 × 57,017.54
  4. Step 4: Simplify right side
    150,511.79x = 12,872,719,429.88
  5. Step 5: Solve for x
    x = 12,872,719,429.88/150,511.79
  6. Step 6: Final answer
    x = 85,526.32

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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.