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Finding the Fourth Proportional to 150,781.94, 225,828.43 and 71,951.53

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Solution

The fourth proportional to 150,781.94, 225,828.43 and 71,951.53 is: 107,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,781.94 : 225,828.43 = 71,951.53 : x
  2. Step 2: Convert to fraction form
    150,781.94/225,828.43 = 71,951.53/x
  3. Step 3: Cross multiply
    150,781.94x = 225,828.43 × 71,951.53
  4. Step 4: Simplify right side
    150,781.94x = 16,248,701,056.00
  5. Step 5: Solve for x
    x = 16,248,701,056.00/150,781.94
  6. Step 6: Final answer
    x = 107,762.91

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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.