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Finding the Fourth Proportional to 100,890.50, 151,283.19 and 37,658.62

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Solution

The fourth proportional to 100,890.50, 151,283.19 and 37,658.62 is: 56,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,890.50 : 151,283.19 = 37,658.62 : x
  2. Step 2: Convert to fraction form
    100,890.50/151,283.19 = 37,658.62/x
  3. Step 3: Cross multiply
    100,890.50x = 151,283.19 × 37,658.62
  4. Step 4: Simplify right side
    100,890.50x = 5,697,115,786.39
  5. Step 5: Solve for x
    x = 5,697,115,786.39/100,890.50
  6. Step 6: Final answer
    x = 56,468.31

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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.