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Finding the Fourth Proportional to 150,136, 225,204 and 56,619.88

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Solution

The fourth proportional to 150,136, 225,204 and 56,619.88 is: 84,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,136 : 225,204 = 56,619.88 : x
  2. Step 2: Convert to fraction form
    150,136/225,204 = 56,619.88/x
  3. Step 3: Cross multiply
    150,136x = 225,204 × 56,619.88
  4. Step 4: Simplify right side
    150,136x = 12,751,023,455.52
  5. Step 5: Solve for x
    x = 12,751,023,455.52/150,136
  6. Step 6: Final answer
    x = 84,929.82

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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.