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Finding the Fourth Proportional to 148,759, 223,138.50 and 37,951

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Solution

The fourth proportional to 148,759, 223,138.50 and 37,951 is: 56,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,759 : 223,138.50 = 37,951 : x
  2. Step 2: Convert to fraction form
    148,759/223,138.50 = 37,951/x
  3. Step 3: Cross multiply
    148,759x = 223,138.50 × 37,951
  4. Step 4: Simplify right side
    148,759x = 8,468,329,213.50
  5. Step 5: Solve for x
    x = 8,468,329,213.50/148,759
  6. Step 6: Final answer
    x = 56,926.50

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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.