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Finding the Fourth Proportional to 150,622.62, 225,795.68 and 52,057.50

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Solution

The fourth proportional to 150,622.62, 225,795.68 and 52,057.50 is: 78,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,622.62 : 225,795.68 = 52,057.50 : x
  2. Step 2: Convert to fraction form
    150,622.62/225,795.68 = 52,057.50/x
  3. Step 3: Cross multiply
    150,622.62x = 225,795.68 × 52,057.50
  4. Step 4: Simplify right side
    150,622.62x = 11,754,358,611.60
  5. Step 5: Solve for x
    x = 11,754,358,611.60/150,622.62
  6. Step 6: Final answer
    x = 78,038.47

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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.