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Finding the Fourth Proportional to 150,784.94, 225,832.93 and 71,954.53

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Solution

The fourth proportional to 150,784.94, 225,832.93 and 71,954.53 is: 107,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,784.94 : 225,832.93 = 71,954.53 : x
  2. Step 2: Convert to fraction form
    150,784.94/225,832.93 = 71,954.53/x
  3. Step 3: Cross multiply
    150,784.94x = 225,832.93 × 71,954.53
  4. Step 4: Simplify right side
    150,784.94x = 16,249,702,336.67
  5. Step 5: Solve for x
    x = 16,249,702,336.67/150,784.94
  6. Step 6: Final answer
    x = 107,767.41

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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.