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Finding the Fourth Proportional to 150,658.96, 225,830.73 and 50,784.61

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Solution

The fourth proportional to 150,658.96, 225,830.73 and 50,784.61 is: 76,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,658.96 : 225,830.73 = 50,784.61 : x
  2. Step 2: Convert to fraction form
    150,658.96/225,830.73 = 50,784.61/x
  3. Step 3: Cross multiply
    150,658.96x = 225,830.73 × 50,784.61
  4. Step 4: Simplify right side
    150,658.96x = 11,468,725,549.07
  5. Step 5: Solve for x
    x = 11,468,725,549.07/150,658.96
  6. Step 6: Final answer
    x = 76,123.75

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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.