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Finding the Fourth Proportional to 148,756.50, 223,134.75 and 37,948.50

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Solution

The fourth proportional to 148,756.50, 223,134.75 and 37,948.50 is: 56,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,756.50 : 223,134.75 = 37,948.50 : x
  2. Step 2: Convert to fraction form
    148,756.50/223,134.75 = 37,948.50/x
  3. Step 3: Cross multiply
    148,756.50x = 223,134.75 × 37,948.50
  4. Step 4: Simplify right side
    148,756.50x = 8,467,629,060.38
  5. Step 5: Solve for x
    x = 8,467,629,060.38/148,756.50
  6. Step 6: Final answer
    x = 56,922.75

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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.