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Finding the Fourth Proportional to 150,539.76, 225,762.30 and 54,464.58

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Solution

The fourth proportional to 150,539.76, 225,762.30 and 54,464.58 is: 81,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,539.76 : 225,762.30 = 54,464.58 : x
  2. Step 2: Convert to fraction form
    150,539.76/225,762.30 = 54,464.58/x
  3. Step 3: Cross multiply
    150,539.76x = 225,762.30 × 54,464.58
  4. Step 4: Simplify right side
    150,539.76x = 12,296,048,849.33
  5. Step 5: Solve for x
    x = 12,296,048,849.33/150,539.76
  6. Step 6: Final answer
    x = 81,679.74

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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.