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Finding the Fourth Proportional to 148,757, 223,135.50 and 37,949

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Solution

The fourth proportional to 148,757, 223,135.50 and 37,949 is: 56,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,757 : 223,135.50 = 37,949 : x
  2. Step 2: Convert to fraction form
    148,757/223,135.50 = 37,949/x
  3. Step 3: Cross multiply
    148,757x = 223,135.50 × 37,949
  4. Step 4: Simplify right side
    148,757x = 8,467,769,089.50
  5. Step 5: Solve for x
    x = 8,467,769,089.50/148,757
  6. Step 6: Final answer
    x = 56,923.50

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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.